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Sagot :
The solution to the system of equation is x = 1 / 5 and y = 4
How to solve system of equation?
The system of equation can be solved as follows:
- 5 / 7 - 11 / 7 x = - y
7 + 5x = 2y
let's rearrange the equations
Therefore,
- 11 / 7 x + y = 5 / 7
5x - 2y = -7
Let's multiply equation(i) by 7 to eliminate the fractions
Hence,
-11x + 7y = 5
5x - 2y = -7
Therefore, using substitution method
5x = -7 + 2y
x = -7 / 5 + 2 / 5 y
Hence,
-11(-7 / 5 + 2 / 5 y) + 7y = 5
77 / 5 - 22 / 5 y + 7y = 5
- 22 / 5 y + 7y = 5 - 77 / 5
-22y + 35y / 5 = 25 - 77 / 5
13y / 5 = -52 / 5
cross multiply
65y = -260
y = -260 / 65
y = 4
Hence,
5x - 2(4) = -7
5x - 8 = -7
5x = -7 + 8
x = 1 / 5
Therefore, the solution to the system of equation is x = 1 / 5 and y = 4
learn more on system of equation here: https://brainly.com/question/36511
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