5х+6у=107 4х-2у=4 Решите системы уравнений

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вопрос

To solve this system of equations by elimination method:

First, let's multiply the second equation by 3:
3(4x - 2y) = 34
12x - 6y = 12

Now, we have the system of equations:
5x + 6y = 107
12x - 6y = 12

Adding the two equations together, we get:
17x = 119
x = 119 / 17
x = 7

Now, we can substitute the value of x back into one of the original equations to find y. Let's use the first equation:
5(7) + 6y = 107
35 + 6y = 107
6y = 72
y = 72 / 6
y = 12

Therefore, the solution to the system of equations is x = 7 and y = 12.