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In Mathematics / High School | 2014-05-19

How do you solve this system of equations?

1. \(3x + y = 17\)

2. \(4x + 2y = 20\)

Asked by KaliWahoske871

Answer (2)

3x + y= 17 (a) 4x + 2 y = 20 (b)
Multiply (a) by 2:
6x + 2y = 34 (a) 4x + 2y = 20 (b)
make: (a) - (b)
2x = 14 -----> x =7

Replace the value of x = 7 in one of anterior equation:
3x + y= 17 3 x 7 + y = 17 21 + y = 17 y = 17 - 21 y = -4

Answered by Ryan2 | 2024-06-10

The solution to the system of equations is x = 7 and y = − 4 . You can find this by first simplifying the second equation and using the elimination method. After eliminating one variable, substitute back to find the value of the remaining variable.
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Answered by Ryan2 | 2024-12-23

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