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3 years ago

How substation y=3x-7 2y+4x=36

Mathematics

1 answer:

SSSSS [86.1K]3 years ago

8 0

The solution is:

x = 5

y = 8

Step-by-step explanation:

Given equations are:

$y=3x-7\ \ \ Eqn\ 1\\2y+4y = 36\ \ \ Eqn\ 2$

Putting y = 3x-7 in equation 2

$2(3x-7)+4x = 36\\6x-14+4x = 36\\10x-14 = 36\\10x = 36+14\\10x = 50$

Dividing both sides by 10

$\frac{10x}{10} = \frac{50}{10}\\x = 5$

Putting x=5 in eqn 1

$y = 3(5)-7\\= 15-7 = 8$

Hence,

x = 5

y = 8

Keywords: Linear equation, substitution method

Learn more about linear equation at:

#LearnwithBrainly

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Answer:

Step-by-step explanation:

Given expression:

$27 \cdot \left(\left(3^3\right)^{-1}\right)$

Following the <u>order of operations</u>, carry out the operations inside the parentheses first:

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2 years ago

A woman earning $20 an hour gets a 15% raise. With her raise, how much will she earn after working 40 hours?

erastovalidia [21]

She will earn $920 after working 40 hours.

Step-by-step explanation:

Given,

Amount per hour = $20

Raise = 15%

Raise amount = 15% of Amount per hour

$Raise\ amount = \frac{15}{100}*20\\Raise\ amount= \frac{300}{100}\\Raise\ amount= \$3$

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She will earn $920 after working 40 hours.

Keywords: Raise, percentage

Learn more about percentages at:

#LearnwithBrainly

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3 years ago

In one month, Juan worked 5 more hours than Carlito. Sara worked 3 times as many hours as Juan. Altogether they worked 80 hours

tamaranim1 [39]

Answer:

The answer to your question is a) C + J + S = 80

b) C = J + 5

c) S = 45 hours

Step-by-step explanation:

a) To represent the number of hours that they work together, just add the variables and equal them to 80.

Carlito + Juan + Sara = 80

C + J + S = 80 Equation l

b) Juan worked 5 hours more than Carlito

Juan = Carlito + 5

J = C + 5 Equation ll

c) Hours worked by Sara

S = 3J Equation lll

C = J - 5

Substitute equation ll and lll in equation l to find J

J - 5 + J + 3J = 80

5J = 80 - 5

5J = 75

J = 75/5

J = 15

-Find S

S = 3(15)

S = 45 hours

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