Question

Please help on all PLEASE IM BEGGING YOU I CANT FAIL PLEASE

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

Answer 1

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!

Answer 2

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