Question

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

Answer 1

y=3x-2 put that value in the other equation

3x-2 = -2x + 3

Simplify

5x = 5

x = 1

Now take that value of x and put it in the other equation

y = -2(1) + 3

y = -2 + 3

y = 1 and x = 1

1 = 3(1) - 2 and 1 = -2(1) + 3

1 = 3-2 and 1 = -2 + 3

1 = 1 and 1 = 1

Explanation:

The points on this will be (1,1) because of 1=1 and 1=1 which is (1,1)

Answer 2

(1, 1)

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 )