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Solve 9x + 13 = 175

The solution of 9x + 13 = 175 is x = 18.

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The lines y = 9x + 13 and y = 175 meet at x = 1812141618202224120140160180200220240x = 18y = 9x + 13y = 175
The lines y = 9x + 13 and y = 175 meet at x = 18. The solution of the equation is the x-coordinate of the point where the two sides are equal.

How to work it out

  1. 1

    The goal is to get x alone. Undo the operations in the opposite order: first the addition, then the multiplication.

    9x+13=1759x + 13 = 175
  2. 2

    Subtract 13 from both sides:

    9x+13−13=175−13 ⇒ 9x=1629x + 13 - 13 = 175 - 13 \ \Rightarrow\ 9x = 162
  3. 3

    Divide both sides by 9:

    9x9=1629 ⇒ x=18\frac{9x}{9} = \frac{162}{9} \ \Rightarrow\ x = 18
  4. 4

    Check: put x = 18 back into the equation.

    9⋅18+13=162+13=175✓9\cdot18 + 13 = 162 + 13 = 175 \checkmark
LaTeX source of the formulas on this page
\[ 9x + 13 = 175\ \Rightarrow\ x = 18 \]
\[ 9x + 13 = 175 \]
\[ 9x + 13 - 13 = 175 - 13 \ \Rightarrow\ 9x = 162 \]
\[ \frac{9x}{9} = \frac{162}{9} \ \Rightarrow\ x = 18 \]
\[ 9\cdot18 + 13 = 162 + 13 = 175 \checkmark \]

Trying values of x in 9x + 13 = 175

x9x + 13Equals 175?
16157no
17166no
18175yes
19184no
20193no

Questions

What is x in 9x + 13 = 175?

The solution of 9x + 13 = 175 is x = 18.

How do you solve 9x + 13 = 175?

Subtract 13 from both sides to get 9x = 162, then divide both sides by 9 to get x = 18.

How do I check the answer?

Replace x by 18: 9(18) + 13 = 175, which is 175.

Similar equations

    Solve 9x + 13 = 175: x = 18 (steps and check) | WordGPT