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Anna71 [15]
3 years ago
15

Solve this system of equations by using the elimination method -2x-2y=-6, 3x+4y=8

Mathematics
1 answer:
adoni [48]3 years ago
8 0

Step-by-step explanation:

- 2x-2y=-6

3x+4y=8

multiply equation (1) by 3 and equation (2) by 2

- 6x-6y=18

6x+8y=16

Add

2y=34

y= 34÷2

y=17

substitute 17 for y in equation (2)

3x+4y=8

3x+4(17)=8

3x+68=8

3x=8-68

3x=-60

x=-60÷3

x=-20

x=-20,y=17

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Luke has two summer jobs. During the week he works in the grocery store, and on the
TiliK225 [7]

Hello! First, let's get some important information:

Luke works in the:

  • week → grocery store → $16/hour
  • weekend → nursery → $22/hour

Now, let's analyze the questions:

<h3>a) How much does he earn if he works 5 hours at the grocery store and 8 hours at the nursery? </h3>

To find the amount he will receive, you must multiply the amount of 1 hour by the number of hours worked. Look:

\mathrm{Grocery\:Store}\\\\\$16 \cdot 5 \:\mathrm{hours}= \$80\\\$22 \cdot 8\:\mathrm{hours}=\$176

<h3>b) How much does he earn if he works g hours at the grocery store and n hours at the nursery?</h3>

\$16 \cdot \mathrm{g} \:\mathrm{hours}= \$16\cdot\mathrm{g}\\\$22 \cdot \mathrm{n}\:\mathrm{hours}=\$22\cdot\mathrm{n}

<h3>c) Total pay, 5 hours at the grocery store and 8 hours at the nursery:</h3>

You'll just have to just add the value in each of the jobs:

$80 + $176 = $256

<h3>d) Total pay, g hours at the grocery store and n hours at the nursery:</h3>

Adding the values of each job:

$16g + $22n

Hope this helps!

8 0
2 years ago
Evaluate the expression using the values in the left column to complete the table
egoroff_w [7]

Answer/Step-by-step explanation:

A. 4b + 3b

Using b = 2

4(2) + 3(2) = 8 + 6 = 14

Using b = 4

4(4) + 3(4) = 16 + 12 = 28

Using b = 6

4(6) + 3(6) = 24 + 18 = 42

Using b = 8

4(8) + 3(8) = 32 + 24 = 56

Using b = 10

4(10) + 3(10) = 40 + 30 = 70

Using b = 2

4(12) + 3(12) = 48 + 36 = 84

B. 3(x - 2)

Using x = 3

3(3 - 2) = 3(1) = 3

Using x = 5

3(5 - 2) = 3(3) = 9

Using x = 7

3(7 - 2) = 3(5) = 15

Using x = 9

3(9 - 2) = 3(7) = 21

Using x = 11

3(11 - 2) = 3(9) = 27

Using x = 13

3(13 - 2) = 3(11) = 33

C. 5(4a - 1)

Using a = 2

5(4(2) - 1) = 5(8 - 1) = 5(7) = 35

Using a = 3

5(4(3) - 1) = 5(12 - 1) = 5(11) = 55

Using a = 4

5(4(4) - 1) = 5(16 - 1) = 5(15) = 75

Using a = 5

5(4(5) - 1) = 5(20 - 1) = 5(19) = 95

Using a = 6

5(4(6) - 1) = 5(24 - 1) = 5(23) = 115

Using a = 7

5(4(7) - 1) = 5(28 - 1) = 5(27) = 135

D. 6y - 2y + 4

Using y = 2

6(2) - 2(2) + 4 = 12 - 4 + 4 = 12

Using y = 3

6(3) - 2(3) + 4 = 18 - 6 + 4 = 18 - 2 = 16

Using y = 5

6(5) - 2(5) + 4 = 30 - 10 + 4 = 30 - 6 = 24

Using y = 10

6(10) - 2(10) + 4 = 60 - 20 + 4 = 60 - 16 = 44

Using y = 8

6(8) - 2(8) + 4 = 48 - 16 + 4 = 48 - 12 = 36

Using y = 6

6(6) - 2(6) + 4 = 36 - 12 + 4 = 36 - 8 = 28

7 0
2 years ago
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