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3 years ago

Solve each equation. 2y=7(y−2)+4 y = 4x=6−2(2−x) x =

Mathematics

1 answer:

aliya0001 [1]3 years ago

5 0

Answer:

y=2 and x=1

Step-by-step explanation:

2y=7y-14+4

2y-7y=-14+4

-5y=-10/-5

y=2

4x=6-4+2x

4x-2x=6-4

2x=2/2

x=1

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3 years ago

Carol bought a bamboo plant that was 62/4 feet high. when she got it home she cut 44/6 feet off of it . how tall was the plant a

Evgesh-ka [11]

Simplifying the values

$$6 \frac{2}{4} =\frac{26}{4}$ and $$4 \frac{4}{6} = \frac{28}{6}$ , we get

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<h3>What is fraction rule?</h3>

Let, the values be a, b, and c, then we get

$\frac{a}{c}-\frac{b}{c}=\frac{a-b}{c}$

Carol bought a bamboo plant that was $$6 \frac{2}{4}$ feet high. when she got it home she cut $$4 \frac{4}{6}$ feet off of it.

$$6 \frac{2}{4} =\frac{26}{4}$ and $$4 \frac{4}{6} = \frac{28}{6}$

The common denominator exists 24,

$$\frac{26}{4}-\frac{28}{6}$

the term $\frac{26}{4}=\frac{13}{2}$

$$=\frac{13}{2}-\frac{28}{6}$

Canceling the term $\frac{28}{6}= \frac{14}{3}$

$$=\frac{13}{2}-\frac{14}{3}$

Least Common Multiplier of 2, 3 = 6

Adjust Fractions based on the LCM

$$=\frac{39}{6}-\frac{28}{6}$

By applying the fraction rule we get

$\frac{a}{c}-\frac{b}{c}=\frac{a-b}{c}$

$$=\frac{39-28}{6}$

Subtract the numbers, and we get

39 - 28 = 11

$$=\frac{11}{6}$

$$\frac{11}{6}$ tall was the plant after she cut it down

The correct answer is $$\frac{11}{6}.$

To learn more about the fraction rule refer to:

brainly.com/question/20323470

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(a)

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