Answer:
x = 1, y = 2
Step-by-step explanation:
9x - 4y = 1 -----Equation 1
-8x - 7y = -22 -----Equation 2
-(8x+7y) = -(22) I have inserted an extra equation here so that it is easier to see how I did the next step.
Equation 2 × (-1): 8x+7y = 22 ------Equation 3
When an equation is multiplied by (-1), the -signs can be removed as two - makes one +. This applies to both sides of the equation.
Equation 1 × 22: 198x - 88y = 22 -----Equation 4
Now, Equations 3 and 4 have the same total, that means that they equal to each other.
8x+7y = 198x - 88y
Evaluate by putting the expressions with x on one side and expressions with y on the other side.
7y+88y = 198x-8x
Further evaluate.
95y = 190x
Further simplify by dividing both sides by 95.
y = 2x -----Equation 5
Now we can substitute y = 2x into equation 1.
9x - 4(2x) = 1
Evaluate.
9x - 8x = 1
Further evaluate.
x = 1 -----Equation 6
Substitute x = 1 into equation 5.
y = 2(1)
Evaluate.
y = 2
