Question

Here's your question :-


Solve the linear equation :-



1) 2x + x = 30
2) 5x + 8 = 43​

Answer 1

Answer:

a. Simplifying

2x = x + -30

Reorder the terms:

2x = -30 + x

Solving

2x = -30 + x

Solving for variable 'x'.

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

Add '-1x' to each side of the equation.

2x + -1x = -30 + x + -1x

Combine like terms: 2x + -1x = 1x

1x = -30 + x + -1x

Combine like terms: x + -1x = 0

1x = -30 + 0

1x = -30

Divide each side by '1'.

x = -30

Simplifying

x = -30

b.Simplifying

5x + 8 = 43

Reorder the terms:

8 + 5x = 43

Solving

8 + 5x = 43

Solving for variable 'x'.

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

Add '-8' to each side of the equation.

8 + -8 + 5x = 43 + -8

Combine like terms: 8 + -8 = 0

0 + 5x = 43 + -8

5x = 43 + -8

Combine like terms: 43 + -8 = 35

5x = 35

Divide each side by '5'.

x = 7

Simplifying

x = 7

Answer 2

Aɴꜱᴡᴇʀ

1. $\Huge{X=10}$
2. $\Huge{X=7}$

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Gɪᴠᴇɴ

$\sf{let \: p(x) = 2x + x = 30} \\ \sf{let \: g(x) = 5x + 8 = 43}$

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Tᴏ ꜰɪɴᴅ

The value of 'X' and 'Y'

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Sᴛᴇᴘꜱ

1. $\sf{ 2x + x = 30} \\ \sf{3x = 30} \\ \sf{x = \frac{30}{3} } \\ \sf{x = 10}$
2. $\sf{5x + 8 = 43} \\ \sf{5x = 43 - 8} \\ \sf{}5x = 35 \\ \sf{x = \frac{35}{5}}$

$\sf{X=7}$

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$\huge{\mathfrak{\purple{hope\; it \;helps}}}$