​​let the cost of a pen and a pencil be x and y respectively a girl pays Rs 16 for 2 pens and 3 pencil write the given data in the form of a linear equation in two variables also represent it graphically

PEN = X
TOTAL PENS = 2
TOTAL PENS COST = 2X
SIMILARLLY
​PENCIL = Y
TOTAL PENCILS = 3
TOTAL PENCILS COST = 3Y
​TOTAL COST = TOTAL PENS COST + TOTAL PENCILS COST
16 = 2X + 3Y
: . REQUIRED EQUATION IS 16 = 2X + 3Y

​GRAPHICAL REPRESENTATION:-
16 = 2X + 3Y
IF X=0
16 = 2*O + 3Y
16/3 = Y
i.e Y=5.3
FIRST SOLUTION (0,5.3)

16 = 2X + 3Y
IF Y=0
16 = 2X + 3*0
16/2 =X
X = 8
SECOND SOLUTION (8,0)

16 = 2X + 3Y
​IF X=1
16 = 2*1 + 3Y
16-2 = 3Y
14/3 = Y
4.6 = Y
THIRD SOLUTION (1,4.6) 



{USING THOSE COORDINATES  U CAN REPRESENT THE GRAPH}

 

The equation for the given information is 2x +3y = 16