Answer:

Step-by-step explanation:
Hello, please consider the following.
We have two equations:
(1) -2x - 4y = 20
(2) -3x + 5y = -25
5*(1)+4*(2) gives
-10x - 20y -12x + 20y = 100 - 100 = 0
-22x = 0
x = 0
I replace in (1)
-4y = 20
y = -20/4 = -5
There is one solution x = 0, y = -5
Hope this helps.
Do not hesitate if you need further explanation.
Thank you
Answer:
Step-by-step explanation:
x - 30 = 14 - 3x
4x = 44
x = 11
Let's call the unknown number x
Now let's decrease it by 30, that is x-30
Now let's write out "14 decreased by three times the number", that is 14 - 3x
The problem says these are the same, that is x - 30 = 14 - 3x
We now want to isolate, or solve for, x
Move the x to one side of the equation by adding 3x to both sides
3x + x -30 = 14 - 3x + 3x
4x -30 = 14
Now move the 30 to the right hand side by adding 30 to both sides
4x - 30 + 30 = 14 + 30
4x = 44
Now all we have to do to get x is divide both sides by 4
4x/4 = 44/4
x = 11
Nate Natalie
5_2 2_2
10_4 4_4
15_6 6_6
Natalie walked 6 feet
Answer:
Step-by-step explanation:
The easiest way to start is to do this problem is to start changing the 3/4 cup to a decimal
3/4 = 0.75
Now divide that into 11. What you are interested in is the remainder.
11/0.75 = 14.66667
He can make 14 whole pizzas.
He has 0.66667 of a cup left over which is less than 3/4 (or 0.75) so he does not have enough for another pizza.
So the answer is 0.66667 which is 2/3 of a cup is left over.