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myrzilka [38]
3 years ago
11

Solve the system by the elimination method. Check your work.

Mathematics
1 answer:
SVEN [57.7K]3 years ago
4 0

<em>Answer:</em>

C, (-6,-2)

<em>Step-by-step explanation:</em>

x - 3y = 0 --(1)

3y - 6 = 2x --(2)

We can rearrange equations 1 and 2:

3y - x = 0 --(3)

3y - 2x = 6 --(4)

Subtract 4 from 3:

(3y-3y) + (-2x+x) = (6-0)

-x = 6

x = -6

Substitute x=-2 into any equation. In this case, I substituted it into equation 1 but the value of y would be the same if you substituted it into a different equations:

x - 3y = 0

-6 = 3y

y = -2

Let's check to see if we are right but substituting the values of x and y into both equations

x - 3y = 0

-6 + (-3*-2) = 0

-6 + 6 = 0

0 = 0 Correct

3y - 6 = 2x

3(-2) - 6 = 2(-6)

-6 - 6 = -12

-12 = -12 Correct

Our answer is correct!

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3 years ago
Gretchen earns extra money mowing lawns on the weekend. She mows 3 lawns per hour and earns $12.00 per lawn. How much does Gretc
stepladder [879]

Gretchen will earn $48 from mowing in 4 hours

Data

  • Amount earned on each lawn = $12
  • Number of hours mowing = 4 hours

<h3>What is Rate</h3>

This is the measure of one unit against another unit. An example of this is speed which is the rate of distance covered to time.

In this case, she mows 1 lawn in each hour and earns $12 on each.

To calculate for 4 hours

4*12=$48

She earns $48 from mowing 4 lawns

learn more on rates here;

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4 0
2 years ago
Please help !!
Maurinko [17]
Answer: The number of ceral boxes per day.

Because the slope will be [rise of the grah of the model function] / [run of the graph of the model function].

rise = [increase in the number of cereal boxes sold]

run = [days elapsed ]

rise / run = number of cereal boxes sold per day


8 0
4 years ago
Read 2 more answers
Solve for N, <br><br> −2p + 6n = 5
topjm [15]

Answer:

n=\frac{1}{3}p+\frac{5}{6}

Step-by-step explanation:

In this question, you are solving for n.

Solve:

−2p + 6n = 5

We have to get "n" by itself, so add 2p to both sides.

6n = 2p + 5

Since the variable "n" has a number next to it, we have to get rid of that number in order to get our answer.

To do so, we would divide both sides by 6.

n=\frac{2}{6}p+\frac{5}{6}

Simplify the equation further.

n=\frac{1}{3}p+\frac{5}{6}

5 0
3 years ago
You buy 4 pieces of chicken for $8.80. Write an equation that can be used to express the relationship between the total price t
Phoenix [80]

Answer:

t=$2.20c

Step-by-step explanation:

4 pieces of chicken for $8.80

Cost of 4 pieces of chicken=$8.80

$8.80/4=$2.20 for each chicken

t=$2.20c

5 0
4 years ago
Read 2 more answers
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