Solve the system of equations using your Desmos calculator:3x+2y=2 −2x+y=8 (1 point)Responses(-4, 2)(-4, 2)(-2, 4)(-2, 4)(4, -2)(4, -2)(14, -20)

To solve the system of equations:

1. \( 3x + 2y = 2 \)
2. \( -2x + y = 8 \)

Let's solve it step by step.

From the second equation, solve for \( y \):

\[ y = 2x + 8 \]

Now substitute this expression for \( y \) into the first equation:

\[ 3x + 2(2x + 8) = 2 \]

Simplifying this:

\[ 3x + 4x + 16 = 2 \]

Combine like terms:

\[ 7x + 16 = 2 \]

Now, isolate \( x \):

\[ 7x = 2 - 16 \] \[ 7x = -14 \] \[ x = -2 \]

Now substitute \( x = -2 \) back into the equation for \( y \):

\[ y = 2(-2) + 8 \] \[ y = -4 + 8 \] \[ y = 4 \]

So the solution to the system of equations is:

\[ (x, y) = (-2, 4) \]

Thus, the correct response is \((-2, 4)\).