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3 years ago

Solve the following system using substitution x+4y=21 4x-y=16

1 answer:

5 0

<span>x+4y=21
4x-y=16

Isolate one of the variables
x + 4y = 21
subtract 4y from both sides
x = -4y + 21

Plug that into the other equation
4x - y = 16
4(-4y + 21) - y = 16
-16y + 84 - y = 16
combine like terms
-17y + 84 = 16
subtract 84 from both sides
-17y = -68
divide both sides by -17
y = 4

Plug that into the equation
</span><span>x+4y=21
x + 4(4) = 21
x + 16 = 21
subtract 16 from both sides
x = 5

Hope this helps!</span>

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Kory spent $46.20 on 12 gallons of gasoline. what was the price per gallon

abruzzese [7]

46.20 divided by 12 is 3.85. The price of gas is $3.85 per gallon

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4 years ago

The ratio of dye to pounds of clothing is constant. A worker develops the chart below to show the amount of dye needed for diffe

Kruka [31]

Answer: 28 pounds of clothing

Step-by-step explanation:

Here the given table,

Weight of clothing : 22 28 34 36

Cups of dye : 5.5 6.5 8.5 9

Since, the ratio of 22 pounds of clothing and 5.5 cups of dye

= $\frac{22}{5.5} = 4$

The ratio of 28 pounds of clothing and 6.5 cups of dye

= $\frac{28}{6.5} = 4.30769231\approx 4.31$

The ratio of 34 pounds of clothing and 8.5 cups of dye

= $\frac{34}{8.5} = 4$

The ratio of 36 pounds of clothing and 9 cups of dye

= $\frac{36}{9} = 4$

Thus, by the above explanation, we can say that the ratio of the 28 pounds of the cloth and the 6.5 cups is different from other ratios.

4 0

4 years ago

Read 2 more answers

Use the exponent rule to simplify

Serhud [2]

Answer:

$y^{-5}$

Step-by-step explanation:

The Exponent Quotient Rule states that if two terms of the same base are being divided by each other, then the simplified expression is the base to the first power subtracted by the second power. As an algebraic equation, that would be $\frac{x^{a} }{x^{b} } =x^{a-b$ , where $x$ is the common base and $a$ and $b$ are the exponents.

In this case, $x=y$ , $a=2$ , and $b=7$ , so we know that $\frac{y^{2} }{y^{7} } =y^{2-7}=y^{-5}$ . Hope this helps!

3 0

3 years ago

Three times the sum of a number and 3 is 3 less than the number times 5. Find the number

Reika [66]

Hello!

Let's write this as an equation.

3(x+3)=5x-3

First, let's simplify the parentheses.

3x+9=5x-3

Let's subtract 5x from both sides.

-2x+9=-3

We subtract 9 from both sides.

-2x=-12

We divide both sides by -2.

x=6

Therefore, the number is 6.

I hope this helps!

4 0

3 years ago

There are 2.5 oranges per pound, and 1.2 grapefruit per pound. With $50 you can buy 36 pounds of oranges or 45 pounds of grapefr

Butoxors [25]

Given
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In 24.45 $ we can bought
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3 years ago