Question

3) n+ 5(n-1) = 7
4) 15=-2(2t - 1)

Answer 1

3. n = 2

4. t = -13/4

Explanation:

3)

. . . . (3a) Distribute (multiply) +5 into the expression (n-1)

. . . . . . . .
`n + 5n - 5 = 7`

. . . . (3b) Add like terms (terms with the same variable)

. . . . . . . .
`6n - 5 = 7`

. . . . (3c) Add 5 on both sides of the equation to "get rid" of the -5

. . . . . . . .
`6n -5 +5 = 7 +5`

. . . . . . . .
`6n = 12`

. . . . (3d) Divide both sides by 6 to isolate the variable

. . . . . . . .
`6n/6 = 12/6`

. . . . . . . .
`n = 2`

4)

. . . . (4a) Distribute (multiply) -2 into the expression (2t-1)

. . . . . . . .
`15 = -4t + 2`

. . . . (4b) Subtract 2 on both sides of the equation to "get rid" of the +2

. . . . . . . .
`15 -2 = -4t +2 -2`

. . . . . . . .
`13 = -4t`

. . . . (4c) Divide both sides by -4 to isolate the variable

. . . . . . . .
`13/-4 = -4t/-4`

. . . . . . . .
`-13/4 = t`

Answer 2

Let’s begin with question 3.

1. Simplify

n + 5n - 5 = 7
6n - 5 = 7

2. Add 5 to both sides

6n = 12

3. Divide by coefficient

n = 2

Onto question 4!

1. Simplify

15 = -4t + 2

2. Subtract 2 from both sides

13 = -4t

3. Divide by coefficient

t = -13/4