Answer:
x = -16/7 and y = 38/7.
Explanation:
To solve the system of equations:
x + 3y - 22 = 0 --- equation (1)
2x - y + 42 = 0 --- equation (2)
x - 11y + 142 = 0 --- equation (3)
We will use the method of substitution to find the values of x and y that satisfy all three equations.
From equation (1), we can express x in terms of y:
x = 22 - 3y --- equation (4)
We can substitute equation (4) into equation (2) and simplify:
2(22 - 3y) - y + 42 = 0
44 - 6y - y + 42 = 0
-7y = -38
y = 38/7
Now, we can substitute the value of y into equation (4) to find x:
x = 22 - 3(38/7)
x = -16/7
Therefore, the solution to the system of equations is:
x = -16/7 and y = 38/7.