Solve the system of equations using the graphing or substitution method. State your final answer as an ordered pair. DO NOT include spaces in your answer.y=3x−11𝑦=3𝑥−11y=−2x+4𝑦=−2𝑥+4Solution:
Question
Solve the system of equations using the graphing or substitution method. State your final answer as an ordered pair. DO NOT include spaces in your answer.y=3x−11𝑦=3𝑥−11y=−2x+4𝑦=−2𝑥+4Solution:
Solution
To solve the system of equations using the substitution method, we first set the two equations equal to each other because they both equal y:
3x - 11 = -2x + 4
Next, we solve for x by adding 2x to both sides of the equation:
3x + 2x = 4 + 11 5x = 15
Then, we divide both sides by 5 to solve for x:
x = 3
Now that we have x, we can substitute x = 3 into the first equation to solve for y:
y = 3(3) - 11 y = 9 - 11 y = -2
So, the solution to the system of equations is (3,-2).
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