y = 6 - 3x
x + y = 62
Since we already know the value of y, we can use substitution to find the value of x.
x + 6 - 3x = 62
Subtract 6 from both sides.
x - 3x = 56
Combine like terms.
-2x = 56
Divide both sides by -2
x = -28
Now that we know the value of x, we can solve for the value of y.
x + y = 62
-28 + y = 62
Add 28 to both sides
y = 90
The value of y is 90, and the value of x is -28 (this is your answer)
To make sure that these values are correct, we can plug them into the original equations.
y = 6 - 3x
x + y = 62
90 = 6 - 3(-28)
90 = 90 √ this is correct
-28 + 90 = 62
62 = 62 √ this is also correct