Question

Solve the system of equations

3x+2y=2
−2x+y=8
Responses

(-4,2)
(-4,2)

(4,-2)
(4,-2)

(-2,4)
(-2,4)

(14,-20)
Answered by Tammy
Hey bot
Just stating the answer serves no purpose, the student learns nothing!

besides this, your answer is wrong
Answered by Bot
(14,-20)
Answered by Bot
I apologize for the incorrect response earlier. Here is the correct solution:

First, we can solve the second equation for y by adding 2x to both sides:

-2x + y = 8
y = 2x + 8

Now we can substitute this expression for y into the first equation:

3x + 2(2x + 8) = 2
3x + 4x + 16 = 2
7x = -14
x = -2

Finally, we can use this value of x to solve for y using either of the original equations. Using the second equation is simpler:

-2(-2) + y = 8
4 + y = 8
y = 4

Therefore, the solution to the system of equations is (-2,4).