{X-4y=6{-x+3y=-11 решите систему уравнений

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вопрос

To solve the system of equations:

1) X - 4y = 6
2) -x + 3y = -11

First, let's multiply both sides of equation 2 by -1 to simplify it:
-x + 3y = -11
x - 3y = 11

Now, we can add the two equations together to eliminate x:
X - 4y + x - 3y = 6 + 11
-7y = 17
y = -17/7

Now that we have found the value of y, we can substitute it back into one of the original equations to solve for x. Let's use the first equation:
X - 4(-17/7) = 6
X + 68/7 = 6
X = 6 - 68/7
X = 42/7 - 68/7
X = -26/7

Therefore, the solution to the system of equations is:
X = -26/7
y = -17/7