Question

Someone help me please

Answer 1

see explanation

Explanation:

(a)

Given

`(4x-1)/(2)` = x + 7

Multiply both sides by 2

4x - 1 = 2(x + 7) ← distribute

4x - 1 = 2x + 14 ( subtract 2x from both sides )

2x - 1 = 14 ( add 1 to both sides )

2x = 15 ( divide both sides by 2 )

x =
`(15)/(2)` = 7.5

(b)

Given

3x + 2 =
`(2x+13)/(3)`

Multiply both sides by 3

3(3x + 2) = 2x + 13 ← distribute left side

9x + 6 = 2x + 13 ( subtract 2x from both sides )

7x + 6 = 13 ( subtract 6 from both sides )

7x = 7 ( divide both sides by 7 )

x = 1

Answer 2

a) x = 7.5

b) x = 1

Explanation:

a)
`(4x - 1)/(2)` = x + 7

4x - 1 = 2(x + 7)

4x - 1 = 2x + 14

4x - 2x = 14 + 1

2x = 15

x = 7.5

b) 3x + 2 =
`(2x + 13)/(3)`

3(3x + 2) = 2x + 13

9x + 6 = 2x + 13

9x - 2x = 13 - 6

7x = 7

x = 1

REMEMBER: When moving numbers or symbols from one side of an equation to another, you must reverse the mathematical function (e.g. × becomes a ÷, and + becomes a -). A fraction is always a ÷, so when you move the denominator (bottom number), it becomes a ×.