To find the value of x, we can use the two equations provided:
1. x + 12y = 210
2. x + 6y = 90
First, we can solve for x in terms of y from the second equation:
x = 90 – 6y
Now, we substitute this expression for x into the first equation:
(90 – 6y) + 12y = 210
Combining like terms, we get:
90 + 6y = 210
Next, we can isolate y:
6y = 210 – 90
6y = 120
Dividing both sides by 6:
y = 20
Now that we have the value of y, we substitute it back into the equation x = 90 – 6y to find x:
x = 90 – 6(20)
x = 90 – 120
x = -30
Thus, the value of x is -30.