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Solve 10x + 13 = 103

The solution of 10x + 13 = 103 is x = 9.

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The lines y = 10x + 13 and y = 103 meet at x = 9468101214406080100120140160x = 9y = 10x + 13y = 103
The lines y = 10x + 13 and y = 103 meet at x = 9. 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.

    10x+13=10310x + 13 = 103
  2. 2

    Subtract 13 from both sides:

    10x+13−13=103−13 ⇒ 10x=9010x + 13 - 13 = 103 - 13 \ \Rightarrow\ 10x = 90
  3. 3

    Divide both sides by 10:

    10x10=9010 ⇒ x=9\frac{10x}{10} = \frac{90}{10} \ \Rightarrow\ x = 9
  4. 4

    Check: put x = 9 back into the equation.

    10⋅9+13=90+13=103✓10\cdot9 + 13 = 90 + 13 = 103 \checkmark
LaTeX source of the formulas on this page
\[ 10x + 13 = 103\ \Rightarrow\ x = 9 \]
\[ 10x + 13 = 103 \]
\[ 10x + 13 - 13 = 103 - 13 \ \Rightarrow\ 10x = 90 \]
\[ \frac{10x}{10} = \frac{90}{10} \ \Rightarrow\ x = 9 \]
\[ 10\cdot9 + 13 = 90 + 13 = 103 \checkmark \]

Trying values of x in 10x + 13 = 103

x10x + 13Equals 103?
783no
893no
9103yes
10113no
11123no

Questions

What is x in 10x + 13 = 103?

The solution of 10x + 13 = 103 is x = 9.

How do you solve 10x + 13 = 103?

Subtract 13 from both sides to get 10x = 90, then divide both sides by 10 to get x = 9.

How do I check the answer?

Replace x by 9: 10(9) + 13 = 103, which is 103.

Similar equations

    Solve 10x + 13 = 103: x = 9 (steps and check) | WordGPT