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=2x+1𝑦=2𝑥+1y=6x−3𝑦=6𝑥−3Solution:
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=2x+1𝑦=2𝑥+1y=6x−3𝑦=6𝑥−3Solution:
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:
2x + 1 = 6x - 3
Next, we solve for x:
1 + 3 = 6x - 2x 4 = 4x x = 1
Then, we substitute x = 1 into the first equation to solve for y:
y = 2(1) + 1 y = 2 + 1 y = 3
So, the solution to the system of equations is (1,3).
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