Check if -2 is the solution of equation 2 – x = 4x + 3

Question

asked Aug 3, 2022 34.8k views

2 Answers

Fatih Donmez · Answer 1 · 2022-08-08T12:16:56+0000

Answer:

$\boxed {\boxed {\sf -2 \ is \ not \ a \ solution}}$

Explanation:

We are asked to check is -2 is the solution of the following equation.

2-x= 4x+3

We must substitute -2 in for x and solve both sides of the equation. If the two sides are equal, then -2 is the solution.

2- (-2) = 4(-2)+3

Solve both sides of the equation according to PEMDAS: Parentheses, Exponents, Multiplication, Division, Addition, Subtraction.

Let's start with the left side.

$2+2= 4(-2)+3 \\$

4= 4(-2)+3

Now solve the right side. Remember to multiply first.

4= -8+3

4= -5

$4\\eq -5$

4 is not equal to -5, so -2 is not the solution for this equation.