Answer: x=26
Step-by-step explanation: To solve for x in the given system of equations y = x - 12 and y = 14, we can substitute the value of y from the second equation into the first equation.
Step 1: Substitute y = 14 into the first equation:
14 = x - 12
Step 2: Solve for x:
Add 12 to both sides of the equation:
14 + 12 = x - 12 + 12
26 = x
Therefore, the value of x is 26.
To check if this solution is correct, we can substitute the value of x back into either equation and see if it satisfies the equation. Let's substitute it into the second equation:
y = 14
x = 26
14 = 26 - 12
14 = 14
Since both sides of the equation are equal, the solution is correct.
Therefore, the solution to the system of equations y = x - 12 and y = 14 is x = 26.
