Question

Someone help me please

Answer 1

Answer:

a) x = 7.5

b) x = 1

Step-by-step explanation:

a) $\frac{4x - 1}{2}$ = x + 7

                                4x - 1 = 2(x + 7)

                                4x - 1 = 2x + 14

                             4x - 2x = 14 + 1

                                    2x = 15

                                      x = 7.5

b) 3x + 2 = $\frac{2x + 13}{3}$

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 ×.

   

Answer 2

Answer:

see explanation

Step-by-step explanation:

(a)

Given

$\frac{4x-1}{2}$ = 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 = $\frac{15}{2}$ = 7.5

(b)

Given

3x + 2 = $\frac{2x+13}{3}$

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