Question

For what value of a do the lines 5x–2y=3 and x+y=a intersect at a point on the y-axis?

PLS HELP, THX

Answer 1

a = -3/2

Explanation:

You can set x=0 and solve for y to find the y-intercept in each case.

first equation: y-intercept = -3/2

second equation: y-intercept = a

To make these equal, we must have ...

a = -3/2