Respuesta :

isaiah6665

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:

The value of the equation is [tex]q=3.5[/tex].

Step-by-step explanation:

Consider the provide equation.

[tex]-15=5(3q-10)-5q[/tex]

Open the parentheses

[tex]-15=15q-50-5q[/tex]

Subtract the like terms.

[tex]-15=10q-50[/tex]

Add 50 to the both sides.

[tex]-15+50=10q-50+50[/tex]

[tex]35=10q[/tex]

Divide both sides by 10.

[tex]q=3.5[/tex]

Check.

Substitute q=3.5 in [tex]-15=5(3q-10)-5q[/tex]

[tex]-15=5(3(3.5)-10)-5(3.5)[/tex]

[tex]-15=5(10.5-10)-17.5[/tex]

[tex]-15=5(0.5)-17.5[/tex]

[tex]-15=2.5-17.5[/tex]

[tex]-15=-15[/tex]

Which is true.

Hence, the value of the equation is [tex]q=3.5[/tex]

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