To solve this system of equations, we can use the method of substitution or elimination.
First, let's solve the first equation for y in terms of x:3x - y = 11-y = -3x + 11y = 3x - 11
Now we can substitute this expression for y into the second equation:5x + 6(3x - 11) = 265x + 18x - 66 = 2623x - 66 = 2623x = 92x = 92/23x = 4
Now that we have found the value of x, we can substitute it back into the equation we found for y:y = 3(4) - 11y = 12 - 11y = 1
Therefore, the solution to the system of equations is x = 4 and y = 1.
To solve this system of equations, we can use the method of substitution or elimination.
First, let's solve the first equation for y in terms of x:
3x - y = 11
-y = -3x + 11
y = 3x - 11
Now we can substitute this expression for y into the second equation:
5x + 6(3x - 11) = 26
5x + 18x - 66 = 26
23x - 66 = 26
23x = 92
x = 92/23
x = 4
Now that we have found the value of x, we can substitute it back into the equation we found for y:
y = 3(4) - 11
y = 12 - 11
y = 1
Therefore, the solution to the system of equations is x = 4 and y = 1.