Question

1. 2z+1÷7=-2
2.5(1-3x)=3(1-4z)
3.3-7x=5-5x
4.2x-3÷3=4×-2÷7

please solve these equations and give with explanations and correct answer​

Answer 1

Hey friend!

Here is your answer:

Actual Question: Solve x for

1. 2z + 1 ÷ 7= - 2

2. 5(1 - 3x) = 3(1 - 4x)

3. 3 - 7x = 5 - 5x

4. (2x - 3) ÷ 3 = (4x - 2) ÷ 7

Solution:

For Question 1)

$2z + \frac{1}{7} = -2\\\\\implies 2z = -2 - \frac{1}{7}\\\\\implies 2z = \frac{14 - 2}{7}\\\\\implies 2z = \frac{12}{7}\\ \\\implies z = \frac{12}{7 \ * \ 2} \\\\\implies z = \frac{6}{7}$

∴ z = ⁶/₇

For Question 2)

$5(1-3x) = 3(1-4x)\\\\\implies 5 - 15x = 3 - 12x\\\\\implies 12x - 15x + 2 = 0\\\\\implies -3x = -2\\\\\implies x = \frac{3}{2}$

∴ x = $\frac{3}{2}$

For Question 3)

$3 - 7x = 5 - 5x\\\\\implies 7x - 5x = 3 - 5\\\\\implies 2x = -2\\\\\implies x = -1$

∴ x = - 1

For Question 4)

$\frac{(2x - 3)}{3} = \frac{(4x - 2)}{7}\\\\\implies 3(4x -2) = 7(2x - 3)\\\\\implies 12x - 6 = 14x -21\\\\\implies 2x = 21 - 6\\\\\implies 2x = 15\\\\\implies x = \frac{15}{2}$

∴ x = $\frac{15}{2}$

I hope it helps you#QualityAnswers