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Solve 10x + 11 = 61

The solution of 10x + 11 = 61 is x = 5.

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The lines y = 10x + 11 and y = 61 meet at x = 524681020406080100120x = 5y = 10x + 11y = 61
The lines y = 10x + 11 and y = 61 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.

    10x+11=6110x + 11 = 61
  2. 2

    Subtract 11 from both sides:

    10x+11−11=61−11 ⇒ 10x=5010x + 11 - 11 = 61 - 11 \ \Rightarrow\ 10x = 50
  3. 3

    Divide both sides by 10:

    10x10=5010 ⇒ x=5\frac{10x}{10} = \frac{50}{10} \ \Rightarrow\ x = 5
  4. 4

    Check: put x = 5 back into the equation.

    10⋅5+11=50+11=61✓10\cdot5 + 11 = 50 + 11 = 61 \checkmark
LaTeX source of the formulas on this page
\[ 10x + 11 = 61\ \Rightarrow\ x = 5 \]
\[ 10x + 11 = 61 \]
\[ 10x + 11 - 11 = 61 - 11 \ \Rightarrow\ 10x = 50 \]
\[ \frac{10x}{10} = \frac{50}{10} \ \Rightarrow\ x = 5 \]
\[ 10\cdot5 + 11 = 50 + 11 = 61 \checkmark \]

Trying values of x in 10x + 11 = 61

x10x + 11Equals 61?
341no
451no
561yes
671no
781no

Questions

What is x in 10x + 11 = 61?

The solution of 10x + 11 = 61 is x = 5.

How do you solve 10x + 11 = 61?

Subtract 11 from both sides to get 10x = 50, then divide both sides by 10 to get x = 5.

How do I check the answer?

Replace x by 5: 10(5) + 11 = 61, which is 61.

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    Solve 10x + 11 = 61: x = 5 (steps and check) | WordGPT