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amid [387]
2 years ago
12

What is the solution to this system of equations? 2x + 4y = 22 7x + y = 12

Mathematics
1 answer:
d1i1m1o1n [39]2 years ago
4 0

Answer:

x=1 and y=5

Step-by-step explanation:

simultaneous equations: substitution method

2x+4y=22----equation 1

7x+y=12---equation 2

from equation 2 make y the subject

y=12-7x----equation 3

substitute y into equation 1 to find x

2x+4(12-7x)=22

2x+48-28x=22

collect like terms

2x-28x=22-48

-26x=-26

divide by -26

-26x/-26=-26/-26

x=1

substitute x=1 into equation 3

y=12-7(1)

y=12-7

y=5

therefore, x=1 and y=5

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3 years ago
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2 years ago
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Answer:

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