Question

Find a if the line 2x+ ay =10 passes through the intersection of lines represented by the equations 2x + 3y = 13 and 4x+ 5y =23

Answer 1

Answer:

first find the coordinates of intersection of

2x+3y=13 equation 1 and

4x+5y=23 equation 2

multiply equation 1 by 2 and subtract from equation 2, you will get

-y=-3

y=3

put this value of y in any of the above equations you will get

x=2

put this value of x and y in equation 2x+ay=10

2×2+a×3=10

3a=6

a=2 Ans