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vladimir2022 [97]
3 years ago
5

Solve the system by substitution. Check your solution.

Mathematics
1 answer:
zvonat [6]3 years ago
4 0
B. (9,126)

<span>y + 18 = 16x
=>y=16x-18 
0.5x + 0.25y = 36 (multiply both sides by 4)
=>2x+y = 144
Substitute y=16x-8

=>2x+16x-8=144
=>18x=152
=>x=152/18=9 
y=16x-18
=>y=16(9)-18
=>y=144-18=126 
Answer: x=9 and y=126</span>
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Given:
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Maria's family: 3x + 5y = 60

Let us find the value of x using Kyle's equation:
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4x         = 52 - 2y
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To check:
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4x + 2y = 52                        3x + 5y = 60
4(10) + 2(6) = 52                  3(10) + 5(6) = 60
40 + 12 = 52                        30 + 30 = 60
52 = 52                                 60 = 60
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