Question

linear equations solve.
a.9 + 5x = 3x + 13
b.4 - 3x = 8 + x
with steps ​

Answer 1

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Answer 2

Step-by-step explanation:

a. 9+5x=3×+13

Simplifying

9 + 5x = 3x + 13

Reorder the terms:

9 + 5x = 13 + 3x

Solving

9 + 5x = 13 + 3x

Solving for variable 'x'.

Move all terms containing x to the left, all other terms to the right.

Add '-3x' to each side of the equation.

9 + 5x + -3x = 13 + 3x + -3x

Combine like terms: 5x + -3x = 2x

9 + 2x = 13 + 3x + -3x

Combine like terms: 3x + -3x = 0

9 + 2x = 13 + 0

9 + 2x = 13

Add '-9' to each side of the equation.

9 + -9 + 2x = 13 + -9

Combine like terms: 9 + -9 = 0

0 + 2x = 13 + -9

2x = 13 + -9

Combine like terms: 13 + -9 = 4

2x = 4

Divide each side by '2'.

x = 2

Simplifying

x = 2

b. 4-3x=8+×

x in (-oo:+oo)

(4/3)*x = 8 // - 8

(4/3)*x-8 = 0

4/3*x-8 = 0 // + 8

4/3*x = 8 // : 4/3

x = 8/4/3

x = 6

x = 6