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Use elimination to solve the system of equations. 10x + 5y = 55 y – 2x = -9 A. (1,1) B. (1,5) C. (5, 1)
Question
Use elimination to solve the system of equations.
10x + 5y = 55
y – 2x = -9
A. (1,1)
B. (1,5)
C. (5, 1)
D. (4,5)
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Mathematics
3 years
2021-08-12T20:58:37+00:00
2021-08-12T20:58:37+00:00 1 Answers
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Answers ( )
Answer:
C. (5,1)
Step-by-step explanation:
10x+5y=55 equation 1
y-2x=-9 equation 2
y=-9+2x isolate y in equation 2
10x+5(-9+2x)=55 substitute value of y from equation 2 into equation 1
10x-45+10x=55
20x=100
x=5
solve for y by using x value (5) in either equation
y-2x=-9
y-2(5)=-9
y-10=-9
y=1