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Solve 9x + 11 = 47

The solution of 9x + 11 = 47 is x = 4.

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The lines y = 9x + 11 and y = 47 meet at x = 4-224681020406080100x = 4y = 9x + 11y = 47
The lines y = 9x + 11 and y = 47 meet at x = 4. 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+11=479x + 11 = 47
  2. 2

    Subtract 11 from both sides:

    9x+11−11=47−11 ⇒ 9x=369x + 11 - 11 = 47 - 11 \ \Rightarrow\ 9x = 36
  3. 3

    Divide both sides by 9:

    9x9=369 ⇒ x=4\frac{9x}{9} = \frac{36}{9} \ \Rightarrow\ x = 4
  4. 4

    Check: put x = 4 back into the equation.

    9⋅4+11=36+11=47✓9\cdot4 + 11 = 36 + 11 = 47 \checkmark
LaTeX source of the formulas on this page
\[ 9x + 11 = 47\ \Rightarrow\ x = 4 \]
\[ 9x + 11 = 47 \]
\[ 9x + 11 - 11 = 47 - 11 \ \Rightarrow\ 9x = 36 \]
\[ \frac{9x}{9} = \frac{36}{9} \ \Rightarrow\ x = 4 \]
\[ 9\cdot4 + 11 = 36 + 11 = 47 \checkmark \]

Trying values of x in 9x + 11 = 47

x9x + 11Equals 47?
229no
338no
447yes
556no
665no

Questions

What is x in 9x + 11 = 47?

The solution of 9x + 11 = 47 is x = 4.

How do you solve 9x + 11 = 47?

Subtract 11 from both sides to get 9x = 36, then divide both sides by 9 to get x = 4.

How do I check the answer?

Replace x by 4: 9(4) + 11 = 47, which is 47.

Similar equations

    Solve 9x + 11 = 47: x = 4 (steps and check) | WordGPT