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Solve 9x + 10 = 154

The solution of 9x + 10 = 154 is x = 16.

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The lines y = 9x + 10 and y = 154 meet at x = 1610121416182022100120140160180200x = 16y = 9x + 10y = 154
The lines y = 9x + 10 and y = 154 meet at x = 16. 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+10=1549x + 10 = 154
  2. 2

    Subtract 10 from both sides:

    9x+10−10=154−10 ⇒ 9x=1449x + 10 - 10 = 154 - 10 \ \Rightarrow\ 9x = 144
  3. 3

    Divide both sides by 9:

    9x9=1449 ⇒ x=16\frac{9x}{9} = \frac{144}{9} \ \Rightarrow\ x = 16
  4. 4

    Check: put x = 16 back into the equation.

    9⋅16+10=144+10=154✓9\cdot16 + 10 = 144 + 10 = 154 \checkmark
LaTeX source of the formulas on this page
\[ 9x + 10 = 154\ \Rightarrow\ x = 16 \]
\[ 9x + 10 = 154 \]
\[ 9x + 10 - 10 = 154 - 10 \ \Rightarrow\ 9x = 144 \]
\[ \frac{9x}{9} = \frac{144}{9} \ \Rightarrow\ x = 16 \]
\[ 9\cdot16 + 10 = 144 + 10 = 154 \checkmark \]

Trying values of x in 9x + 10 = 154

x9x + 10Equals 154?
14136no
15145no
16154yes
17163no
18172no

Questions

What is x in 9x + 10 = 154?

The solution of 9x + 10 = 154 is x = 16.

How do you solve 9x + 10 = 154?

Subtract 10 from both sides to get 9x = 144, then divide both sides by 9 to get x = 16.

How do I check the answer?

Replace x by 16: 9(16) + 10 = 154, which is 154.

Similar equations

    Solve 9x + 10 = 154: x = 16 (steps and check) | WordGPT