-x - y = 8
2x - y = -1
Ok, we are going to solve this in 2 parts. First we have to solve for one of the variables in one of the equation in terms of the other variable. I like to take the easiest equation first and try to avoid fractions, so let's use the first equation and solve for x.
-x - y = 8 add y to each side
-x = 8 + y divide by -1
x = -8 - y
So now we have a value for x in terms of y that we can use to substitute into the other equation. In the other equation we are going to put -8 - y in place of the x.
2x - y = -1
2(-8 - y) - y = -1 multiply the 2 through the parentheses
-16 - 2y - y = -1 combine like terms
-16 - 3y = -1 add 16 to both sides
-3y = 15 divide each side by -3
y = -5
Now we have a value for y. We need to plug it into either of the original equations then solve for x. I usually choose the most simple equation.
-x - y = 8
-x - (-5) = 8 multiply -1 through the parentheses
-x + 5 = 8 subtract 5 from each side
-x = 3 divide each side by -1
x = -3
So our solution set is
(-3, -5)
That is the point on the grid where the 2 equations are equal, so that is the place where they intersect.
Answer: 288, 576, 1152
Step-by-step explanation: What you do here is that you multiply every number by two. You start by doing 18 times 2, which equals 36. Then you do 36 times 2, which equals 72. You keep on doing this until you get the answers needed.
Hope this helped!! :)
Answer:
x = 17.2
Step-by-step explanation:
since they are supplementary, when you add then together they equal 180
4x + 8 + 6x = 180
Combine like terms
10x + 8 = 180
subtract 8 from both sides
10x = 172
divide each side by 10
x = 17.2
hope this helps :)
Answer:
5c-5=45
Step-by-step explanation:
Since he didn't have the dessert you have to take away the five and the total was 45 which means something has to equal it.
