To determine the satisfactory solution, we can simply substitute the given values into the equations.
Substitution
Given we already have the value of y, we can plug it into the top equation:
x + y = 14 ⇒ x + (x + 6) = 14 ⇒ 2x + 6 = 14
From here, we can subtract 6 from both sides:
2x + 6 = 14 ⇒ 2x = 8
Finally, we divide both sides by the coefficient (2) to find the value of x:
8 ÷ 2 = 4
x = 4
Now that we have the value of x, we can plug it back into the second equation:
y = x + 6 ⇒ y = 4 + 6
Therefore, y = 10.
Answer Recap
The satisfactory solution for both of these equations would be: x = 4, y = 10.
