Question

What is the solution to the system of equations represented by the two equations?
y=-2x + 7
y=1/3x

(?,?)

Answer 1

x = 3 ; y = 1

Given:
y = -2x + 7
y = 1/3x

Substitute y by its value to find x.
y = y
1/3 x = -2x + 7
x = (-2x + 7) ÷ 1/3

x = (-2x + 7) * 3/1
x = -6x + 21
x + 6x = 21
7x = 21
7x/7 = 21/7
x = 3

Substitute x by its value to solve for y.
y = -2x + 7
y = -2(3) + 7
y = -6 + 7
y = 1

y = 1/3 x
y = 1/3 * 3
y = (1*3)/3
y = 3/3
y = 1