What is the solution to the system of equations?y=5x+2𝑦=5𝑥+23x=−y+103𝑥=−𝑦+10Responses(7, 1)7 comma 1(1, 7)1 comma 7(−18,−4)negative 18 comma negative 4(−4,−18)
Question
What is the solution to the system of equations?y=5x+2𝑦=5𝑥+23x=−y+103𝑥=−𝑦+10Responses(7, 1)7 comma 1(1, 7)1 comma 7(−18,−4)negative 18 comma negative 4(−4,−18)
Solution
The system of equations is:
- y = 5x + 2
- 3x = -y + 10
To find the solution, we can substitute equation 1 into equation 2:
3x = -(5x + 2) + 10 3x = -5x - 2 + 10 3x = -5x + 8 8x = 8 x = 1
Substitute x = 1 into equation 1:
y = 5(1) + 2 y = 5 + 2 y = 7
So, the solution to the system of equations is (1, 7).
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Instructions: Solve each system by substitution. Make sure to check your answer BEFORE submitting. State your answer as an ordered pair. DO NOT include spaces in your answer.System 1y=−5x+13𝑦=−5𝑥+13y=−2x+7𝑦=−2𝑥+7(( ,, ))System 2y=−4x−12𝑦=−4𝑥−12y=7x+21𝑦=7𝑥+21(( ,, )
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