Answer:
Step-by-step explanation:
To solve this problem we need to write the mixed fraction as a fractional number, as follows:
Then, evaluating the expression:
×
= 
=
-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:
-9/50
Step-by-step explanation:
( (r+2) * (2r-9)-(r^2+17r+30) )/(r+2)
none of the parenthetical operations or power operations can be simplified further, so multiplication and division first, left to right:
(2r(r+2) -9(r+2) - r^2 + 17r +30)/(r+2)
(2r^2 + 2r -9r+18 -r^2 +17r +30 )/(r+2)
(r^2 +10r +48)/(r+2)
