Answer:
Explanation:
To solve this system of equations by substitution, we need to solve one of the equations for one of the variables, and then substitute that expression into the other equation. Here's how we can do that:
y = x - 6 (equation 1)
We can solve equation 1 for y by adding 9x to both sides:
9x + y = x - 6 + 9x
y = -8x - 6 (equation 2)
Now we can substitute equation 2 into equation 3 and solve for x:
-8x - 6 = -9x + 14
Adding 8x to both sides, we get:
y = -x + 8
Subtracting 14 from both sides, we get:
-x = -6
Dividing both sides by -1, we get:
x = 6
Now that we have found the value of x, we can substitute it back into equation 1 or equation 2 to find the value of y. Let's use equation 2:
y = -8(6) - 6
y = -54
Therefore, the solution to the system of equations is:
x = 6, y = -54
We can check this by substituting these values into the original equations:
-9(6) + 14 = -54
6 - 6 = 0
So the values of x and y satisfy both equations, and therefore they are the solution to the system.