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The taxi fare in a city is as follows: For the first kilometer, the fare is Rs. 8 and forthe subsequent distance it is Rs. 5 per km. Taking the distance covered as x kmand total fare as Rs. y, writes a linear equation for this information
Find four different solutions of the equation 4x + 5y = 20.
The given linear equation in two variables is 4x + 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 obtain
4 × 0 + 5y = 20,
5y = 20
or y = 4
Therefore, (0, 4) is a solution of the given equation.
Now, taking y = 0, we obtain
4x + 5 × 0 = 20
4x = 20
x = 5
Therefore, (5, 0) is a solution of the given equation.
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
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.
draw the graph of equation 2x+3y =6,write the coordinates of the points where graph meet x axis and y axis
if ax =b , by =c , cz =a then prove that xyz=1
draw 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.
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
which of the following is a solution of equation x+2y=7
the 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.
SOLVE 3x - 4y =16 ; 2x - 3y = 10
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.
give the equations of 2 lines passing through (2,14).how many more such lines are there and why?
draw the graph of the linear equation 3x +4y =6 .at what points,the graph cut the x-axis and the y-axis.
A milkman has two types of milk: A and B. Type A has 90% pure milk and 10% water while type B has 95% pure milk and 5% water.
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
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.
There are two classrooms A and B containing students. If 5 students are shifted from room A to room B , the resulting number of students in the two classrooms become equal. If 5 students are shifted from room B to room A, the resulting number of students in room A becomes double the number of students left in room B. Find the number of students in the two rooms seperately.
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
Solve for x and y. 35/x+y + 14/x-y = 19 14/x+y + 35/x-y = 37
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 2x + 9 = 0 as an
(1) in one variable
(2) in two variables
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
Find the value of y at x=-1 in the equation 5y=2?
"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 x in terms of y , given that 3x + 4y = 6. Check whether the point (3,2) is on the given line.
For what value of c, the linear equation 2x + cy = 8 has equal values of x and y for its solution.
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.
the difference between 2 numbers is 3. write the given data in form of a linear equation in 2 variables. also, represent it graphically. if smaller number is 8, then find graphically the value of the larger number.the answer is required by 17 March, Monday. Please answer ASAP. Thank you.
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.
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.
If a room were 2 metre longer and 3 metre broader, its area would have increased by 75 sq.m. If it were 1 metre shorter and 2 metre broader its area would have increased by 16 sq.m. Find its lenghth and breadth.
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.
check which of the following is solution of the equation 3y-2x=1
1)(4,3) 2)(2root2 ,3root2)
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.
give the equation of two lines passing through (-3,4). how many such lines are possible?
Write each of the following equation in two variables.
a) x = -3
b) y = 7
c) y = 8
In 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 for y-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.
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 traingle
Can smone plz answer it wid a figure plz
A 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.
determine the point on graph of linear equation 2x+5y=19, whose ordinate is1 1/2 times its abscissa.
The graph of the equation ax +by+c=0 will pass through the origin if
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 x km and total fare as Rs y, write
a linear equation for this information, and draw its graph.
Thsi distance between the graph of the equation x = -3 and x = 2 is what
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 four solution of 2x-3y=6 ?
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.
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?
write four solutions of 2x+3y=8.
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
Force 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.
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.
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?
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