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Solve 9x + 15 = 42

The solution of 9x + 15 = 42 is x = 3.

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The lines y = 9x + 15 and y = 42 meet at x = 3-22468-2020406080100x = 3y = 9x + 15y = 42
The lines y = 9x + 15 and y = 42 meet at x = 3. 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+15=429x + 15 = 42
  2. 2

    Subtract 15 from both sides:

    9x+15−15=42−15 ⇒ 9x=279x + 15 - 15 = 42 - 15 \ \Rightarrow\ 9x = 27
  3. 3

    Divide both sides by 9:

    9x9=279 ⇒ x=3\frac{9x}{9} = \frac{27}{9} \ \Rightarrow\ x = 3
  4. 4

    Check: put x = 3 back into the equation.

    9⋅3+15=27+15=42✓9\cdot3 + 15 = 27 + 15 = 42 \checkmark
LaTeX source of the formulas on this page
\[ 9x + 15 = 42\ \Rightarrow\ x = 3 \]
\[ 9x + 15 = 42 \]
\[ 9x + 15 - 15 = 42 - 15 \ \Rightarrow\ 9x = 27 \]
\[ \frac{9x}{9} = \frac{27}{9} \ \Rightarrow\ x = 3 \]
\[ 9\cdot3 + 15 = 27 + 15 = 42 \checkmark \]

Trying values of x in 9x + 15 = 42

x9x + 15Equals 42?
124no
233no
342yes
451no
560no

Questions

What is x in 9x + 15 = 42?

The solution of 9x + 15 = 42 is x = 3.

How do you solve 9x + 15 = 42?

Subtract 15 from both sides to get 9x = 27, then divide both sides by 9 to get x = 3.

How do I check the answer?

Replace x by 3: 9(3) + 15 = 42, which is 42.

Similar equations

    Solve 9x + 15 = 42: x = 3 (steps and check) | WordGPT