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Solve 9x + 11 = 56

The solution of 9x + 11 = 56 is x = 5.

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The lines y = 9x + 11 and y = 56 meet at x = 524681020406080100120x = 5y = 9x + 11y = 56
The lines y = 9x + 11 and y = 56 meet at x = 5. 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=569x + 11 = 56
  2. 2

    Subtract 11 from both sides:

    9x+11−11=56−11 ⇒ 9x=459x + 11 - 11 = 56 - 11 \ \Rightarrow\ 9x = 45
  3. 3

    Divide both sides by 9:

    9x9=459 ⇒ x=5\frac{9x}{9} = \frac{45}{9} \ \Rightarrow\ x = 5
  4. 4

    Check: put x = 5 back into the equation.

    9⋅5+11=45+11=56✓9\cdot5 + 11 = 45 + 11 = 56 \checkmark
LaTeX source of the formulas on this page
\[ 9x + 11 = 56\ \Rightarrow\ x = 5 \]
\[ 9x + 11 = 56 \]
\[ 9x + 11 - 11 = 56 - 11 \ \Rightarrow\ 9x = 45 \]
\[ \frac{9x}{9} = \frac{45}{9} \ \Rightarrow\ x = 5 \]
\[ 9\cdot5 + 11 = 45 + 11 = 56 \checkmark \]

Trying values of x in 9x + 11 = 56

x9x + 11Equals 56?
338no
447no
556yes
665no
774no

Questions

What is x in 9x + 11 = 56?

The solution of 9x + 11 = 56 is x = 5.

How do you solve 9x + 11 = 56?

Subtract 11 from both sides to get 9x = 45, then divide both sides by 9 to get x = 5.

How do I check the answer?

Replace x by 5: 9(5) + 11 = 56, which is 56.

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    Solve 9x + 11 = 56: x = 5 (steps and check) | WordGPT