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

User Alt
by
7.1k points

1 Answer

0 votes

Answer:

x=1 and y=5

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

User Priya Singhal
by
6.6k points
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