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 the value of y:

Since both equations are equal to ( 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. Substituting x back to find y:

Since ( y = -6 ) is given, we don’t need to substitute ( x ) again into the second equation.

5. Solution:

The solution to the system of equations is ( (x, y) = left(-frac{9}{2}, -6right) ) or ( (-4.5, -6) ).

Feel free to ask if you need more help or further explanations!