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

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Question 1027626: For what value of a do the lines 5x–2y=3 and x+y=a intersect at a point on the y-axis?
Found 2 solutions by robertb, mananth:
Answer by robertb(5830) About Me  (Show Source):
You can put this solution on YOUR website!
If 5x–2y=3 and x+y=a are to intersect at the y-axis, the x-coordinate of the intersection point must be 0. By using Cramer's rule, the x-coordinate is given by
.
Hence, %282a%2B3%29%2F7+=+0, and a = -3/2.

Answer by mananth(16946) About Me  (Show Source):
You can put this solution on YOUR website!
5x-2y=3
x+y =a
On Y axis x =0
Plug x=0 in the equations
y = -3'2
a=-3/2