To solve a multi-variable problem, you need to isolate single variables. To do this, there are two ways to do it. One way you eliminate one of the variables and the other you substitute.
In this example, you are being asked to eliminate one of the variables. To do this, you multiply 2x+2y= 12 by 2 and get 4x+4y = 24.
See how now both equations contain a 4y?
Using this you can subtract one equation from the other.
5x+4y=28
- 4x+4y=24
And then you get x=4
To get the other variable, you substitute 4 in for x (in one of the equations) and then solve for y.
2(4) + 2y =12
8+2y= 12
2y=4
y=2
Therefore, x = 4 and y = 2
Answer:
38°
Step-by-step explanation:
90= (8+3x) + 52
38= 8 +3x
30= 3x
10= x
(Please go and recheck to make sure the math is completely correct. I did it mentally so it might be off...)
Answer:
13.75/ hour
Step-by-step explanation:
$192.50/14 hours= $13.75/hour
$247.50/18 hours= $13.75/hour
$453.75/33 hours= $13.75/hour
if you isolate y in the top equation to get y=5x+6 then you can substiture y for 5x+6 in the bottom equation because thats what y equals
as of now you have -3x+6(5x+6)=-12 but if you use the distrubite property you would get -3x+30x+36=-12
then if you subtract 36 from both sides you would get -3x+30x=-48 then combine like terms to get 27x=-48 then divide both sides by 27 to get or x≈1.8