Solving Equations Using Substitution Practice

Question

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Question
Solve the system of equations.
5x+2y=14
x−6y=22(1 point)
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Answer 1

To solve this system of equations using substitution, we can start by solving the second equation for x:

x = 22 + 6y

Now, we can substitute this expression for x into the first equation:

5(22 + 6y) + 2y = 14
110 + 30y + 2y = 14
32y = -96
y = -3

Now that we have found the value of y, we can substitute it back into the second equation to solve for x:

x = 22 + 6(-3)
x = 22 - 18
x = 4

Therefore, the solution to the system of equations is:
x = 4
y = -3