Question

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

Answer 1

Answer:

(1,1)

Step-by-step explanation:

The choices are not visible, however are unnecessary to solve this problem.

Given y = 3x - 2 and y = -2x + 3

[Set them equal to each other]

3x - 2 = -2x + 3

[Find x]

3x + 2x - 2 = 3

3x + 2x = 5

5x = 5

x = 1

[Plug x = 1 to both equations to check and find y]

y = 3x - 2

y = 3(1) - 2 = 3 - 2 = 1

y = -2x + 3

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

Both are equal to y = 1 when x = 1

The point is then: (1,1)

Answer 2

Answer:

(1, 1).

Step-by-step explanation:

y = 3x − 2

y = -2x + 3

Subtracting:

0 = 5x - 5

5x = 5

x = 1.

Put x = 1 into the first equation:

y = 3(1) - 2 = 1.