Solve using elimination.
-x – 3y = -11
-7x – 6y = -17
( , )
Solve using elimination. -x – 3y = -11 -7x – 6y = -17 Find the values of x and y.
![[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 using elimination, follow these steps:
1. Write down the equations:
[
-x – 3y = -11 quad (1)
]
[
-7x – 6y = -17 quad (2)
]
2. Eliminate one variable: To eliminate ( x ), we can multiply equation (1) by 7:
[
7(-x – 3y) = 7(-11) quad Rightarrow quad -7x – 21y = -77 quad (3)
]
Now we have:
[
-7x – 21y = -77 quad (3)
]
[
-7x – 6y = -17 quad (2)
]
3. Subtract equation (2) from equation (3):
[
(-7x – 21y) – (-7x – 6y) = -77 – (-17)
]
This simplifies to:
[
-21y + 6y = -77 + 17 quad Rightarrow quad -15y = -60
]
4. Solve for ( y ):
[
y = frac{-60}{-15} = 4
]
5