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=−3x+10𝑦=−3𝑥+103x−2y=163𝑥−2𝑦=16Solution
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=−3x+10𝑦=−3𝑥+103x−2y=163𝑥−2𝑦=16Solution
Solution
The system of equations is:
- y = -3x + 10
- 3x - 2y = 16
Step 1: Solve the first equation for y:
y = -3x + 10
Step 2: Substitute y in the second equation:
3x - 2(-3x + 10) = 16 3x + 6x - 20 = 16 9x = 36 x = 4
Step 3: Substitute x = 4 into the first equation to solve for y:
y = -3(4) + 10 y = -2
So, the solution to the system of equations is (4,-2).
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