Question

Which point satisfies the system of equations y = 3x − 2 and y = -2x + 3?

Answer 1

Answer:

(1, 1)

Step-by-step explanation:

Since both equations express y in terms of x we can equate them, that is

3x - 2 = - 2x + 3 ( add 2x to both sides )

5x - 2 = 3 ( add 2 to both sides )

5x = 5 ( divide both sides by 5 )

x = 1

Substitute x = 1 into either of the 2 equations

y = 3x - 2 = (3 × 1) - 2 = 3 - 2 = 1

Solution is (1, 1 )