Solve the system of equations using the substitution method. State your final answer as an ordered pair. DO NOT include spaces in your answer.y=−6x+6𝑦=−6𝑥+65x−2y=−125𝑥−2𝑦=−12Solution:
Question
Solve the system of equations using the substitution method. State your final answer as an ordered pair. DO NOT include spaces in your answer.y=−6x+6𝑦=−6𝑥+65x−2y=−125𝑥−2𝑦=−12Solution:
Solution
First, we have two equations:
- y = -6x + 6
- 5x - 2y = -12
We can substitute equation 1 into equation 2, replacing y with -6x + 6:
5x - 2(-6x + 6) = -12 5x + 12x - 12 = -12 17x = -12 + 12 17x = 0 x = 0
Now, substitute x = 0 into equation 1:
y = -6(0) + 6 y = 6
So, the solution to the system of equations is (0,6).
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