Question

2x+5y=10
x-3y=-6
how do i get the point of intersection

Answer 1

Multiple the second equation by 2 and subtract it from the first

2x + 5y = 10
2x - 6y = -12

now subtract

11y = 22
y = 2

Plug y = 2 in to either equation
x - 3(2) = -6
x - 6 = -6
x = 0

The point at where they intersect is (0, 2)