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61=7-6x
3/2a -26=-5
4=n-10/-3

User Jdsumsion
by
8.3k points

2 Answers

5 votes

Answer:

1. x = -9

2. a = 14

3. n =
(2)/(3)

Explanation:

Here are the steps to the first question:

1. Rearrange Terms

61 = 7 - 6x

61 = -6x + 7

2. Subtract 7 from both sides

61 = -6x + 7

61 - 7 = -6x + 7 - 7

3. Simplify

Subtract the numbers:

61 - 7 = -6x + 7 - 7

54 = -6x + 7 - 7

Subtract the numbers:

54 = -6x + 7 - 7

54 = -6x

4. Divide both sides by the same factor

54 = -6x


(54)/(6) =
(-6x)/(-6)

5. Simplify

Divide the numbers:


(54)/(6) =
(-6x)/(-6)

-9 =
(-6x)/(-6)

Cancel terms that are in both the numerator and denominator:

-9 =
(-6x)/(-6)

-9 = x

Move the variable to the left:

-9 = x

x = -9

Solution to Question 1:

x = -9

Here are the steps to the second question:

1. Combine multiplied terms into a single fraction


(3)/(2)a - 26 = -5


(3a)/(2) - 26 = -5

2. Find common denominator


(3a)/(2) - 26 = -5


(3a)/(2) +
(2(-26))/(2) = -5

3. Combine fractions with common denominator


(3a)/(2) +
(2(-26))/(2) = -5


(3a+2(-26))/(2) = -5

4. Multiply the numbers


(3a+2(-26))/(2) = -5


(3a - 52)/(2) = -5

5. Multiply all terms by the same value to eliminate fraction denominators


(3a - 52)/(2) = -5

2 ·
(3a - 52)/(2) = 2(-5)

6. Cancel multiplied terms that are in the denominator

2 ·
(3a - 52)/(2) = 2(-5)

3a - 52 = 2(-5)

7. Multiply the numbers

3a - 52 = 2(-5)

3a - 52 = -10

8. Add 52 to both sides

3a - 52 = -10

3a - 52 + 52 = -10 + 52

9. Simplify

Add the numbers:

3a - 52 + 52 = -10 + 52

3a = -10 + 52

Add the numbers:

3a = -10 + 52

3a = 42

10. Divide both sides by the same factor

3a = 42


(3a)/(3) =
(42)/(3)

11. Simplify

Cancel terms that are in both the numerator and denominator:


(3a)/(3) =
(42)/(3)

a =
(42)/(3)

Divide the numbers:

a =
(42)/(3)

a = 14

Solution to Question 2:

a = 14

Here are the steps to the third question:

1. Divide the numbers

4 = n +
(-10)/(-3)

4 = n +
(10)/(3)

2. Subtract
(10)/(3) from both sides

4 = n +
(10)/(3)

4 -
(10)/(3) = n +
(10)/(3) -
(10)/(3)

3. Simplify

Subtract the numbers:

4 -
(10)/(3) = n +
(10)/(3) -
(10)/(3)


(2)/(3) = n +
(10)/(3) -
(10)/(3)

Subtract the numbers:


(2)/(3) = n

Move the variable to the left:


(2)/(3) = n

n =
(2)/(3)

Solution to Question 3:

n =
(2)/(3)

I hope my answer helped you! If you need more information or help, comment down below and I will be sure to respond if I am online. Have a wonderful rest of your day!

User Artem Bilan
by
8.8k points
5 votes

system of equations: n=2/3 ,a=14,x=−9
for each thing: x= −9 | a= 14 | n= 2/3

User Salomonvh
by
9.1k points

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