Q48. - Algebra 1

Question

Determine whether the given number is a solution to the equation.

$\mathit{x}\mathbf{+}\mathbf{6}\mathbf{=}\mathbf{15}\mathbf{;}\mathbf{9}$

Step-by-Step Solution

Answer

x = 9 a solution of the given equation.

Step 1. Definition.

Equation: An equation is a mathematical statement that two expressions are equal. An equation will always contain an equal sign with an expression on each side.

Solve Equations: A mathematical statement that contains algebraic expressions and symbols is an open sentence. A sentence that contains an equals sign =, is an equation.

 

A value for a variable that makes a sentence true is called, solving the open sentence.

This replacement value is a solution.

Step 2. Order of Operations.

BODMAS

B – Brackets First

O – Orders (i.e. Powers and Square Roots etc.)

D – Division

M – Multiplication

A – Addition

S – Subtraction

Step 3. Substitute value for x = 9.

$x+6=15$ Original equation

Substitute 9 for x.

$\Rightarrow 9+6=15$

Add the numbers.

$\Rightarrow 15=\mathrm{15...}True$

Therefore, x = 9 is a solution $\mathit{x}\mathbf{+}\mathbf{6}\mathbf{=}\mathbf{15}$.