Q50. - Algebra 1

Question

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

$\mathbf{2}\mathit{t}\mathbf{-}\mathbf{10}\mathbf{=}\mathbf{4}\mathbf{;}\mathbf{3}$

Step-by-Step Solution

Answer

No, t = 3 is not a solution to 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. Apply BODMAS rule.

$2t-10=4$ Original equation

Substitute 3 for t.

$\Rightarrow 2\left(3\right)-10=4$

Multiply 2 by 3 in the first term of the equation.

$\Rightarrow 6-10=4$

Subtract 10 from 6.

$\Rightarrow -4=4\mathrm{...}\text{False}$

Therefore, t = 3 is not a solution of $\mathbf{2}\mathit{t}\mathbf{-}\mathbf{10}\mathbf{=}\mathbf{4}$.