
Douglas S. answered 09/07/14
Tutor
5.0
(25)
MS in Chemistry with 10+ Years in Pharmaceutical Industry
The first formula is the easiest to simplify.
3x - y = -8
Solve for y by adding y and -8 on both sides, simplifying the equation of y in terms of x:
y = 3x + 8
Solve for y by adding y and -8 on both sides, simplifying the equation of y in terms of x:
y = 3x + 8
Plug this into the second equation:
5x + 2y = 5
5x + 2(3x + 8) = 5
5x + 2(3x + 8) = 5
5x + 6x + 16 = 5
11x = -11
x = -1
Solve for y by plugging in x to the first simplified equation:
y = 3x + 8
Solve for y by plugging in x to the first simplified equation:
y = 3x + 8
With x = -1:
y = 3(-1) + 8
y = 3(-1) + 8
y = -3 + 8
y = 5
So, you have determined that x = -1, and y = 5. If you want, you can check this by entering the values into either of the original equations.
3x - y = -8
3(-1) - 5 = -8
-3 - 5 = -8
-8 = -8 CORRECT!
Hope that helped.
So, you have determined that x = -1, and y = 5. If you want, you can check this by entering the values into either of the original equations.
3x - y = -8
3(-1) - 5 = -8
-3 - 5 = -8
-8 = -8 CORRECT!
Hope that helped.