Q49. - Algebra 1

Question

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

$\mathbf{12}\mathbf{+}\mathit{y}\mathbf{=}\mathbf{26}\mathbf{;}\mathbf{14}$

Step-by-Step Solution

Answer

Yes, y = 14 is 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 y = 14 .

$12+y=26$ Original equation

Substitute 14 for y.

$\Rightarrow 12+14=26$

Add 12 and 14 on the left side of the equation.

$\Rightarrow 26=\mathrm{26....}True$

Therefore, y = 14 is a solution.