-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.
Let x be the mystery number
25% = 0.25
So, 24/x = 0.25
Now, we have to rearrange the equation to get:
x = 24/0.25 = 96
Don't hesitate to ask any further questions!
Hope I helped! xx
Answer:
multiply the chances
1/2 (every other number is even right)
1/2 x 1/6 (if it is a normal dice) = 1/12
1/12 chance
Step-by-step explanation:
No, she's not. If each energy drink's unit cost was just over $2.00, and there are 6 drinks in a pack, then that's at least $12.00 right there, but the entire 6-pack is on sale for only $2.99. She should find the correct price by dividing $2.99/6, resulting in about $0.50 per drink
