y = -5x + 24
y = 4x - 21
Since both of these equations are equal to Y, theyre equal to each other.
So we can make an equation with y = -5x + 24 in one side and y = 4x - 21 on the other.
-5x + 24 = 4x - 21
Now in order to get the value of x we need to isolate it in one side of the equation. We can do this by subtracting 24 from both sides of the equation:
-5x + 24 - 24 = 4x - 21 - 24
-5x = 4x - 45
Now we subtract 4x from both sides so the 4x shift to the other side
-5x - 4x = 4x - 4x - 45
-9x = -45
Finally divide both sides by -9 so x is by itself
(-9)÷(-9x) = -(45)÷(-9)
x = 5
Since we did all of this to BOTH sides of the equation, both sides are still equal to each other and the equation still is true.
Now apply x = 5 to either of the initial equations to find the value of Y
y = -5x + 24 or y = 4x - 21
(I'll do both but u only need one)
y = -5(5) + 24
y = -25 + 24
y = -1
y = 4(5) - 21
y = 20 - 21
y = -1
Either way, X is 5 and Y is -1
Answer (5, -1)
Answer:
468.75 / 125 = $3.75 per car wash.
Step-by-step explanation:
The price of one bag of popcorn is $3.75
Step-by-step explanation:
Let,
x represent the cost of a bag of popcorn
y represent the cost of a drink.
According to given statement;
4x+12y=30 Eqn 1
x+6y=11.25 Eqn 2
Multplying Eqn 2 by 2

Subtracting Eqn 3 from Eqn 1

Dividing both sides by 2

4x+12y=30 and x+6y=11.25 can be used to find the price of one bag of popcorn and the price of one drink.
The price of one bag of popcorn is $3.75
Keywords: linear equation, elimination method
Learn more about elimination method at:
#LearnwithBrainly
Answer:
2
Step-by-step explanation:
Leah uses 1/4 cup of chocolate chips for 2/3 cups of batter, so if Leah uses 3/4 cup of chocolate chips, she should use 2 cups of batter.
Simplest Form: 
How to Simplify a Ratio A : B when A and B are both whole numbers:
- List the factors of A
- List the factors of B
- Find the greatest common factor of A and B, GCF(A, B)
- Divide A and B each by the GCF
- Use the whole number results to rewrite the ratio in simplest form
Try to reduce the ratio further with the greatest common factor (GCF).
<em>The GCF of 14 and 4 is 2</em>
Divide both terms by the GCF, 2:
14 ÷ 2 = 7
4 ÷ 2 = 2
The ratio 14 : 4 can be reduced to lowest terms by dividing both terms by the GCF = 2 :
14 : 4 = 7 : 2
Therefore:
14 : 4 = 7 : 2