Question

What values of x and y simultaneously satisfy the two equations given?

y = 2x – 3
y =[tex]\frac{1}{3}[tex] x + 2

Answer 1

9514 1404 393

Answer:

(x, y) = (3, 3)

Explanation:

The two expressions for y can be set equal:

2x -3 = 1/3x +2

5/3x = 5 . . . . . . add 5 -1/3x

x = 3 . . . . . . . . . multiply by 3/5

y = 2(3) -3 = 3 . . . find y using the first equation

The solution to the system of equations is (x, y) = (3, 3).