Question

I'm in algebra and I need help ASAP. what is the solution to this system of equation?

y + 2 = 3(x - 1)
y = -2x + 10

Answer 1

Answer: x = 3

Explanation:

3(x-1)-2=-2x+10

3x-3-2=-2x+10

3x+2x=10+3+2

5x=15

x=3

Answer 2

To solve this system of equations, we can use substitution or elimination method. Here's the solution using the substitution method:

y + 2 = 3(x - 1) (1)
y = -2x + 10 (2)

We can substitute equation (2) into equation (1) for y:

(-2x + 10) + 2 = 3(x - 1)

Simplifying this equation, we get:

-2x + 12 = 3x - 3

Adding 2x to both sides, we get:

12 = 5x - 3

Adding 3 to both sides, we get:

15 = 5x

Dividing both sides by 5, we get:

x = 3

Now, we can substitute x = 3 into equation (2) to find the value of y:

y = -2(3) + 10

y = 4

Therefore, the solution to the system of equations is (x, y) = (3, 4).