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I need help with all of these.​

I need help with all of these.​-example-1

2 Answers

3 votes

Answer:

1. m = -2

2. g = 7

3. y = 13

4. a = -36

5. x = 15

6. w = -18

Explanation:

1. Make the constant to the right-hand side and change its sign

a = 10 - 12

Calculate the difference a = -2

Solution

a = -2

2. Move variable to the left-hand side and change its sign

-g - 2 = - 9

Move constant to the right-hand side and change its sign

-g = -9 + 2

Calculate the sum

-g = -7

Change the signs on both sides of the equation

g = 7

Solution

g = 7

3. Divide both sides of the equation by - 7

-7y ÷ (-7) = -91 ÷(-7)

Any expression divided by itself equals 1

y = 91 ÷ (-7)

Divide two negatives equals a positive: (-) ÷(-)=(+)

y = 91 ÷ 7

Calculate the quotient

y = 13

Solution

y = 13

4. Multiply both sides of the equation by 9

9 x a/9 = 9 x (-4)

Reduce the number with the greatest common factor 9

a = 9 x (-4)

Multiply a positive and a negative equals a negative: (+)x(-)=(-)

a = -9 x 4

Multiply the numbers

a = -36

Solution

a = -36

5. Multiply both sides of the equation by 3/2

3/2 × 2/3x = 3/2 × 10

Reduce the numbers with the greatest common factor 3

1/2 × 2x = 3/2 × 10

Reduce the numbers with the greatest common factor 2

x = 3/2 × 10

Reduce the numbers with the greatest common factor 2

x = 3 x 5

Multiply the numbers

x = 15

Solution

x = 15

6. Multiply both sides of the equation by 9/4

9/4 x 4/9w = 9/4 x (-8)

Reduce the numbers with the greatest common factor 9

1/4 x 4w = 9/4 x (-8)

Reduce the numbers with the greatest common factor 4

w = 9/4 x (-8)

multiplying a positive and a negative equals and negative: (+)x(-)=(-)

w = -9/4 x 8

Reduce the numbers with the greatest common factor 4

w = -9 x 2

Multiply the numbers

w = -18

Solution

w = -18

User Sidane
by
8.0k points
5 votes

Answer:

1: m=2

2: g=7

3: y=13

4: a=-27

5: x=15

6: w=-18

User Jerome Ansia
by
8.6k points

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