Solve the system of equations using the substitution method. State your final answer as an ordered pair. DO NOT include spaces in your answer.−4x+4y=−12−4𝑥+4𝑦=−12y=−6x+18𝑦=−6𝑥+18Solution:
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.−4x+4y=−12−4𝑥+4𝑦=−12y=−6x+18𝑦=−6𝑥+18Solution:
Solution
Step 1: We have two equations here, which are -4x + 4y = -12 and y = -6x + 18.
Step 2: Since the second equation is already solved for y, we can substitute -6x + 18 for y in the first equation.
Step 3: Substituting y in the first equation, we get -4x + 4(-6x + 18) = -12.
Step 4: Simplifying the equation, we get -4x - 24x + 72 = -12.
Step 5: Combining like terms, we get -28x + 72 = -12.
Step 6: Subtracting 72 from both sides, we get -28x = -84.
Step 7: Dividing both sides by -28, we get x = 3.
Step 8: Substituting x = 3 into the second equation, we get y = -6(3) + 18 = 0.
So, the solution to the system of equations is (3,0).
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