Enter the solution (x, y) to the system of equations shown.
y = -6
y = 4x + 12
Enter the solution (x, y) to the system of equations shown. y = -6 y = 4x + 12
![[Deleted User]](https://quizzma.com/wp-content/plugins/WPQA/images/default-image.png "[Deleted User]"){kind=avatar}
Share
Quizzma Latest Questions
Lost your password? Please enter your email address. You will receive a link and will create a new password via email.
Please briefly explain why you feel this question should be reported.
Please briefly explain why you feel this answer should be reported.
Please briefly explain why you feel this user should be reported.
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!