We have to add the equations in a clever way such that one of the variables cancels out. If you multiply the top one with 3 and the bottom one with 2, you cancel x. Like this:
3(2x+3y)=3*6 => 6x + 9y = 18
2(-3x+5y)=2*10 => -6x + 10y = 20
9y + 10y = 38 => 19y = 38 => y=2
If y=2 then 2x + 6 = 6 => x=0
The pair (0,2) is a solution.
Answer:
the answer is 5 cups
Step-by-step explanation:
let x rep a cup of sugar
and y rep a cookie
and k be constant
x/kx=6y/30y
k=5
Answer:
Perimeter of rectangle:
Step-by-step explanation:
We are given the following in the question:
Length of rectangle:
Width of rectangle:
Perimeter of rectangle:
Expressions to calculate perimeter
The attached image shows the image of the rectangle.
Answer:
X = 8, Y = 8
Step-by-step explanation:
Step 1) Solve for Y w/ bottom equation to yield - y = -2/3x + 40/3.
Step 2) substitute equation into x + y = 16 to get 1/3x + 40/3 = 16 multiply by 3 to clear the fractions and get x + 40 = 48 - subtract 40 by both sides to get x = 8.
Step 3) Plug x = 8 into the bottom equation to get 48 + 9y = 120, subtract 48 by both sides to get 9y = 72 and then divide by 9. The product is y = 8.
3x -7 = 14
3x - 7 (+7) = 14 (+7)
3x = 21
3x/3 = 21/3
x = 7
hope this helps
