Question

Solve and check the following equation -15=5(3q-10)-5q

Answer 1

Answer:

 q = 7/2 = 3.500

Step-by-step explanation:

   

Rearrange:

Rearrange the equation by subtracting what is to the right of the equal sign from both sides of the equation :

                    5*(3*q-10)-5*q-(-15)=0

Step by step solution :

Step  1  :

Equation at the end of step  1  :

 (5 • (3q - 10) -  5q) -  -15  = 0

Step  2  :

Step  3  :

Pulling out like terms :

3.1     Pull out like factors :

  10q - 35  =   5 • (2q - 7)

Equation at the end of step  3  :

 5 • (2q - 7)  = 0

Step  4  :

Equations which are never true :

4.1      Solve :    5   =  0

This equation has no solution.

A a non-zero constant never equals zero.

Solving a Single Variable Equation :

4.2      Solve  :    2q-7 = 0

Add  7  to both sides of the equation :

                     2q = 7

Divide both sides of the equation by 2:

                    q = 7/2 = 3.500

Answer 2

Answer:

The value of the equation is $q=3.5$.

Step-by-step explanation:

Consider the provide equation.

$-15=5(3q-10)-5q$

Open the parentheses

$-15=15q-50-5q$

Subtract the like terms.

$-15=10q-50$

Add 50 to the both sides.

$-15+50=10q-50+50$

$35=10q$

Divide both sides by 10.

$q=3.5$

Check.

Substitute q=3.5 in $-15=5(3q-10)-5q$

$-15=5(3(3.5)-10)-5(3.5)$

$-15=5(10.5-10)-17.5$

$-15=5(0.5)-17.5$

$-15=2.5-17.5$

$-15=-15$

Which is true.

Hence, the value of the equation is $q=3.5$