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What is the solution to the system of linear equations below?
x+4y=22
2x+y=9

User Ivin
by
9.0k points

1 Answer

2 votes

Answer:


\boxed{\sf \ \ \ x = 2 \ \ and \ \ y = 5 \ \ \ }

Explanation:

hello, we have two equation

(1) x + 4y = 22

(2) 2x + y = 9

let's multiply (1) by 2 and subtract (2)

2x + 8y - (2x + y) = 2*22 - 9 = 44 - 9 = 35

<=> 2x + 8y -2x -y = 35

<=> 7y = 35

<=> y = 35/7 = 5

we replace this value in (1) and it comes

x + 4*5 = 22

<=> x = 22 - 20 = 2

so the solution is

x = 2 and y = 5

hope this helps

User Matt Kneiser
by
8.2k points

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