Question

3x+5y=78 2x-y=0 the point of intersection of the lines has an x-coordinate of what

Answer 1

In order to find where these two lines intersect you must solve them simultaneously x

3x +5y = 78.... (1)

2x - y = 0 ........(2)

by multiplying eq (2) by 2 and adding it to eq (1)
5(2x - y = 0) ..... (3)
10x - 5y = 0 ..... (3)

eq(3) + eq (1) : 10x + 3x +5y - 5y = 78 + 0
⇒ 13x = 78
⇒ x = 6