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Syllabus

The taxi fare in a city is as follows: For the first kilometer, the fare is Rs. 8 and for

the subsequent distance it is Rs. 5 per km. Taking the distance covered as x km

and total fare as Rs. y, writes a linear equation for this information

Find the value of y at x=-1 in the equation 5y=2?

Draw the graphs of the equations x + y = 6 and 2x + 3y = 16 on the same graph paper. Find the coordinates of the points where the two lines intersect

Linear equation of the type y=mx, where m is not equal to 0 has

A) Infinitely many solutions

B)A unique solution

C) only solution x=0, y=0

D)solution m=0

With the answer can you tell how is it done?

a railway half ticket costs half the full fare and the reservation charge is the same on half ticket as on full ticket. one reserved first class ticket from mumbai to ahmedabad costs Rs. 216 and one full and one half reserved first class tickets cost Rs. 327. what is the basic first class full fare and what is the reservation charge.

which of the following is a solution of equation x+2y=7

a) x=3,y=5

b) x=3,y=-5

c) x=3,y=2

d) x=0,y=7

if a

^{x }=b , b^{y }=c , c^{z }=a then prove that xyz=1draw the graphs of the equations x-y=1 and 2x+y=8.Shade the area bounded by these two lines and y-axis.Also,determine this area.

Twice the ordinate of a point decreased by three times the abscissa is 6, express the given sentenced in the form of an equation?

express y in the terms of x in equation 2x-3y=12.find the points where the lines represent by the equation cuts x-axis and y-axis

Find four different solutions of the equation 4x+ 5y= 20.The given linear equation in two variables is 4

x+ 5y= 20.We can obtain the solution of the equation by substituting the value of one variable and obtaining the value of the other variable.

If we take

x= 0, we obtain4 × 0 + 5

y= 20,5

y= 20or

y= 4Therefore, (0, 4) is a solution of the given equation.

Now, taking

y= 0, we obtain4

x+ 5 × 0 = 204

x= 20x= 5Therefore, (5, 0) is a solution of the given equation.

Now after this how do you solved the next step. Please expalin in simple wordsthe ratio of income of two persons is 9:7 and the ratio of their expenditure is 4:3.if each of them manages to save Rs.2000 per month, find their monthly income.the parking charges of a car on New Delhi railway station for first 2 hours is Rs 50/- and Rs 10/-for subsequent hours.write down a equation & draw the graph of this data.Read the charges from the graph.

1)for 1 hour 2)for 3 hours 3) for 6 hours

write the equation of line which is parallel to x-axis and is at a distance of 3 units below origin. also draw its graph.

if x=2y+6,then find the value of

^{x3}-^{8y3-36xy-216}HALF THE PERIMETER OF A GARDEN, WHOSE LENGTH IS 4m MORE THAN ITS WIDTH IS 36m. FIND THE DIMENSION OF GARDEN.

Draw the graphs of following equations on the same graph sheet:

x-y=0, x+y=0, y+5=0

Also, find the area enclosed between these lines.

a) x axis b) y axis c)both the axes d)None of these

give the equations of 2 lines passing through (2,14).how many more such lines are there and why?

The graph of the equation ax +by+c=0 will pass through the origin if

a) a=0

b) b=0

C) a=b

d) c=0

draw the graph of the linear equation 3x +4y =6 .at what points,the graph cut the x-axis and the y-axis.

1.)Any solution of linear equation 3x+0y+7=0 in two variables is the form

a.) 7/3, p

b.) p, 7/3

c.) -7/3, -7/3

d.) -7/3, 0

the ratio of girls and boys in a class is 1:3. Set up an equation between students of a class and boys then draw its graph. Also find the number of boys in a class of 40 students from the graph

Find the distance between the graph of the equations x=-4 and x=-1

draw the graph of 2x+y=6 and 2x-y+2=0.shade the regions bounded by these lines at x axis.find the area of shaded region.

The auto fare in a city is as follows -

For the first 4 km the fare is rs30 and for the subsequent distance it is rs5 per km. Taking the distance covered as x km and total fare as rs y. write a linear equation for this information and draw the graph.

Draw the graph of 3x - 2y + 6=0 and x +2y -6 =0 in a graph paper and find the area is the triangle formed by these two lines and the x-axis

The number of eggs needed to make a cake varies directly as the number of cups of flour used. To make a cake, a chef used 2 cups of flour and half a dozen of eggs. Write an equation and draw the graph of the egg-four relation.

Solve the equation 2x+1=x-3, and represent the solution(s) on

i) the number line

ii) the cartesian line

Give the geometric representations of 2

x+ 9 = 0 as an equation(1) in one variable

(2) in two variables

write y in terms of x for the equation x-y+4+0. also drawn graph of the equation?

If the work done by a body on application of a constant force is directly proportional to the distance travelled by the body, express this in the form of an equation in two variables and draw the graph of the same by taking the constant force as 5 units. Also read from the graph the work done when the distance travelled by the body is

(i) 2 units (ii) 0 units

Write the equation x = 5 in the standard form of linear equation in two variables.

"Two years later a father will be 8 years more than three times the age of the son "Taking the present age of father and son as x and y respectively. Write a linear equation for teh above.Find the age of the father when son is 10 years old

Express

in terms ofx, given that 3y+ 4x= 6. Check whether the point (3,2) is on the given line.yFor what value of c, the linear equation 2x + cy = 8 has equal values of x and y for its solution.

Find the solution of linear equation 2x +5y 20 which represents a point on y- axis.

Two places A and B are 120 km apart from each other on a highway. A car starts from A and another from B at the same time. If they move in same direction, they meet in 6 hours and if they move in opposite directions, they meet in 1 hour and 12 minutes. Find the speed of the cars.

If the points (1,0) and (2,1) lie on the graph of x/a + y/b then the values of a and b are

bx + ay = 1+ c

Q-1 On sellinga T.V. at 5% gain and a fridge at 10% gain , a shopkeeper gains Rs 2000.

But if he sells the T.V. at 10% gain and the fridge at 5% loss . He gains Rs 1500 on the transaction .

Find the actual price of T.V and fridge.

Age of x exceeds age of y by 7 years. This statement can be expressed as linear equation as : (a) x + y + 7 = 0 (b) x – y + 7 = 0 (c) x – y – 7 = 0 (d) x + y – 7 = 0

ravish tells his daughter aarushi,seven years ago , i was seven times as old as you were then.also,three years from now , i shall be three times as old as you will be'.if present ages of aarushi and ravish are x and yyearsrespectively,represent this situation algebraically and graphically.

Draw the graphs of the following equations on the same graph x=4,x+5=0,y=2,y-1=0

also,find the area enclosed between these lines.

2 men and 5 boys can finish a piece of work in 4 days,while 3 men and 6 boys can finish it in 3 days. find the time taken by one man alone to finish the work and that taken by one boy alone to finish the work.

A LENDING LIBRARY HAS A fixed charge for the first three days and an additional charge for each day there after.arushi paid 27 for a book kept for 7 days. if fixed charges are x and additional charges are y write the linear equation representing the given information and plot the graph for the same.

The graph of the linear equation in two variables y = mxisa. a line parallel to x-axis

b.a line passing through the origin

c.a line parallel to y-axis

d.not a straight line

give the equation of two lines passing through (-3,4). how many such lines are possible?

the graph of equation y=mx+c passes through the origin

TRUE OR FALSE with EXPLANATIONIn countries like USA and Canada, temperature is measured in Fahrenheit, whereas in countries like India, it is measured in Celsius. Here is a linear equation that converts Fahrenheit to Celsius:

(i) Draw the graph of the linear equation above using Celsius for

x-axis and Fahrenheit fory-axis.(ii) If the temperature is 30°C, what is the temperature in Fahrenheit?

(iii) If the temperature is 95°F, what is the temperature in Celsius?

(iv) If the temperature is 0°C, what is the temperature in Fahrenheit and if the temperature is 0°F, what is the temperature in Celsius?

(v) Is there a temperature which is numerically the same in both Fahrenheit and Celsius? If yes, find it.

if the present age of son and father are expressed by x and y respectively after ten years father will be twice as old as his son.Write the relation between x and y

Draw the graph of the line 2x+3y=6 on the graph paper.Write the sum of the intercepts cut by this line on two axes.

I need the answer for this quetion:

Give the geometric representation of 2x+9=0 as an equation : a) in one variable b) in two variable .

Shade the triangle formed by the graphs of 2x-y=4 and x+y=2 and the y-axis. Write the vertices of the traingleCan smone plz answer it wid a figure plzA and B are friends and their ages differ by 2 years. A's father D is twice as old as A and B is twice as old as his sister C. the age of D and C differ by 40 years. find the ages of A and B.

1.)The graph of the linear equation 3x-2y=0 passes through the point

a.) (2/3, -2/3)

b.) (2/3, 3/2)

c.) (1/3, 1/2)

determine the point on graph of linear equation 2x+5y=19, whose ordinate is1 1/2 times its abscissa.

Yvaries inversely asX. IfXis increased by25%, then the value of percentage change toYis ?The taxi fare in a city is as follows: For the first kilometre, the fares is Rs 8 and for the subsequent distance it is Rs 5 per km. Taking the distance covered as

xkm and total fare as Rsy, write a linear equation for this information, and draw its graph.if a linear equation has solutions,(-3,3), (0,0),(-3,-3),than, it is in the form of y-x=0. Comment. Please explain the meaning of the question also.

Thank you

find the coordinates of the points where the line represented by the equation 5y- 3x-10=0 cuts the two axes

draw the graph of the equation 3x+4y=18 with the help of the graph find the value of if when x=2 and the value of x when y=4.5 show these points on the graph

find the four solutions of each of the following equations (a )4x-5y=20 (b) 3x+7y=-5

draw the graph of y=2x+4 use the graph to find the area between the line and the two axes

find the value of k if x=-1 and y=-2 is a solution of the equation 3x-5ky+4k=0 then find one more solution of this equation

if the point (2,-5)lies on the graph of the equation 2ax-y=1 find the value of a is (-2,3) a solution of this equation

the auto fare in a city isas follows for the first 2kmit is rs25 and for the subsequent distance it is rs 10/km taking the total distance covered as xkmand the total fare as rsy write a linear equation for this information also, calculate the total fare that a customer will have to pay for covering a distance of 20 km

solve the following equations for x

(a) 8(x-3)-(6 -2x) =2 (x+2)-5 (5-x)

(b)14x- (5x-9)-{4-3x-(2x-3)}=30

(c) 2x-3/5 +x+3/4 =4x+1/7

(d)6 (x²-3x+2) -2 (x²-1) =4 (x+1) (x+2) -24

(e) (x-1)/3-(4x+1)/ 4 =1/12

(f) 5x-5/4x+7 =5x-31/4x-23(x = -7/4, 23/4)

represent the following equations as one variable on number line and as two variables on the graph

(a) 2x-8=4-x

(b)3y-9=0

express x=3y in the form ax+by+c=0 and indicate the values of a,b and c . write two solution of the equation

Find a number such that 5,15 and 35 are added to it,the product of the first and third result may be equal to square of the second.

if in a rectangle, the length is increased and breadth reduced each by 2 units, the area is reduced by 28 sq. units. if however the length is reduced by 1 unit and the breadth increased by 2 units, the area increases by 33 square units. find the area of the rectangle.

the angry arjuna carried some arrow for fighting with Bhishama.With half the arrows ,he cut down the arrows thrown by bhishama on him & with six other arrows he killed the Rath driver of Bhishama.with one arrow each he knocked down respectively the Rath,flag and bow of Bhishama.finally with one more than 4 times the square root of arrows he laid Bhisama unconscious on an arrow bed.find the totally no. of arrows Arjun had?

where will we use linear eq in 2 variables in our daily life

draw the graph of the equation 3x+2y=12 at what points does the graph cut the x-axis and the y-axis?

if(2,3) and (4,0) lie on the graph of equation ax+by=1. find the value of a and b and plot the graph of the equation obtained

on putting x=4,y=^{-}5 in the equation 3x-2y-2k=0 then the value of k is watForce applied on a body is directly proportional to the acceleration produced in the body.Write an equation to express the situation and plot the graph of the equation taking the constant to be 5 units.

how to draw a graph for the following equation.

5x-y+3=0

show that the points A(1,2), B(-1,-16) and C(0,-7) lie on the graph of the linear equation y=9x-7.

if the point [3,4] lies on the graph of the equation 3y=ax+7. find the value of a.

a) what is the value of x when y=3

b)what is the value of y when x=y

c) find one more solution for the above equation

Draw a triangle whose sides are represented by x = 0, y = 0, and x + y = 3

The three wheeler scooter charges Rs 10 for the first km & Rs. 4.50 each for every subsequent km. For a distance of x km, an amount of Rs.y is paid. Write linear eqn representing above information?