Enter the solution (x, y) to the system of equations shown. y = -6 y = 4x + 12

To solve the system of equations:

1. Identify the equations:

– Equation 1: ( y = -6 )

– Equation 2: ( y = 4x + 12 )

2. Substitute Equation 1 into Equation 2:

Since both equations equal ( y ), we can set them equal to each other:

[

-6 = 4x + 12

]

3. Solve for ( x ):

– Subtract 12 from both sides:

[

-6 – 12 = 4x

]

[

-18 = 4x

]

– Divide by 4:

[

x = -frac{18}{4} = -frac{9}{2} = -4.5

]

4. Find ( y ):

Use Equation 1 to find ( y ):

[

y = -6

]

5. Final solution:

The solution to the system of equations is:

((x, y) = left(-frac{9}{2}, -6right)) or approximately ((-4.5, -6)).

If you have further questions or need more help, feel free to ask!