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-17+ 1/4 x + 1/4 x + 31 = 24

Sagot :

Answer:

[tex]\boxed{x=20}[/tex]

Solution Steps:

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1.) Combine like terms:

  • [tex]\frac{1}{4}x+\frac{1}{4}x=\frac{1}{2}x[/tex]

 - We do this because we need 1 Number/Variable left over.

Equation at the end of Step 1:

  • [tex]-17+\frac{1}{2}x+31=24[/tex]

2.) Add −17 and 31:

  • [tex]-17+31=14[/tex]

 - We do this because we can only have 1 number on each side of the equals. (This doesn't count towards the number connected to the variable.)

Equation at the end of Step 2:

  • [tex]14+\frac{1}{2}x=24[/tex]

3.) Subtract 14 from both sides:

  • [tex]14-14=[/tex] Cancels Out
  • [tex]24-14=10[/tex]

 - We do this because now we just need the 1 variable and the 1 number on opposite sides of the equal.

Equation at the end of Step 3:

  • [tex]\frac{1}{2}x=10[/tex]

4.) Multiply both sides by 2:

  • [tex]\frac{1}{2}x[/tex] × [tex]2=x[/tex]
  • [tex]10[/tex] × [tex]2=20[/tex]

 - We multiply by 2 since we have a fraction. In this case the reciprocal is 2 meaning we multiply by 2.

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