Chapter 7.3, Problem 1AYU

To determine

To solve: To find value of an algebraic expression $3x-5=-x+1$ as mentioned in the problem.

Answer to Problem 1AYU

The value of an algebraic expression $3x-5=-x+1$ will be $1.50$ .

Explanation of Solution

Given information:

The mentioned algebraic expression is $3x-5=-x+1$ .

Formula used:

Here we take all variable term to left hand side and constant term to right hand side.

Also, cancelled out like terms in numerator and denominator.

Calculation:

Consider the mentioned algebraic expression $3x-5=-x+1$ .

Recall that when we take all variable term to left hand side and constant term to right hand side then we have,

  $3x-5=-x+1\Rightarrow 3x+x=5+1\Rightarrow 4x=6\Rightarrow x=\frac{6}{4}.$

Recall that cancelled out like terms in numerator and denominator.

Therefore $x=\frac{6}{4}\Rightarrow x=\frac{3}{2}\Rightarrow x=1.50$

So, the value of an algebraic expression $3x-5=-x+1$ is $1.50$ .