Question

Determine whether x=−1
or x=2
is a solution of −2(x−1)=1−3x
.

Answer 1

x = -1

Explanation:

Pre-Solving

We are given the following equation:
-2(x-1) = 1-3x

We want to find out if x = -1 and x = 2 are solutions to the above equation.

To do that, we can substitute the values into the equation. If it results in a true statement on both sides, then it is a solution.

Solving

x = -1

Let's start with if x = -1.

Substitute -1 as x into the equation:

-2(-1-1) = 1-3(-1)

First, evaluate what is in the parentheses:

-2(-2) = 1 + 3

Simplify:

4 = 4

This is a true statement, so x = -1 is a solution.
Let's check if x=2 is also a solution though.

x = 2

Substitute 2 as x into the equation.

-2(2-1) = 1 -3(2)

Evaluate what is in the parentheses:

-2(1) = 1 - 6

-2 = -5

This is not a true statement, so x = 2 is not a solution to the equation.

So, only x = -1 is a solution to the equation.