What is the solution of the system of equations?

y = 3x + 7
y = x – 9

Solve it the same way I showed for this problem.

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To find the solution of the system of equations, we can use the method of substitution.

Step 1: Solve one equation for one variable (in terms of the other variable).
Let's solve the second equation for y in terms of x:
y = x - 9

Step 2: Substitute the expression obtained in step 1 into the other equation.
Substitute (x - 9) for y in the first equation:
3x + 7 = x - 9

Step 3: Simplify and solve for the remaining variable.
Combine like terms by subtracting x from both sides of the equation:
2x + 7 = - 9

Next, subtract 7 from both sides of the equation:
2x = - 16

Now, divide both sides of the equation by 2 to isolate x:
x = -8

Step 4: Substitute the found value of x back into one of the original equations to find the value of the other variable.
Let's use the second equation:
y = x - 9
Substituting the value of x, which is -8:
y = (-8) - 9
y = -17

Therefore, the solution to the system of equations is x = -8 and y = -17.