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Solve 11x + 1 = 45

The solution of 11x + 1 = 45 is x = 4.

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The lines y = 11x + 1 and y = 45 meet at x = 4-2246810-2020406080100120x = 4y = 11x + 1y = 45
The lines y = 11x + 1 and y = 45 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.

    11x+1=4511x + 1 = 45
  2. 2

    Subtract 1 from both sides:

    11x+1−1=45−1 ⇒ 11x=4411x + 1 - 1 = 45 - 1 \ \Rightarrow\ 11x = 44
  3. 3

    Divide both sides by 11:

    11x11=4411 ⇒ x=4\frac{11x}{11} = \frac{44}{11} \ \Rightarrow\ x = 4
  4. 4

    Check: put x = 4 back into the equation.

    11⋅4+1=44+1=45✓11\cdot4 + 1 = 44 + 1 = 45 \checkmark
LaTeX source of the formulas on this page
\[ 11x + 1 = 45\ \Rightarrow\ x = 4 \]
\[ 11x + 1 = 45 \]
\[ 11x + 1 - 1 = 45 - 1 \ \Rightarrow\ 11x = 44 \]
\[ \frac{11x}{11} = \frac{44}{11} \ \Rightarrow\ x = 4 \]
\[ 11\cdot4 + 1 = 44 + 1 = 45 \checkmark \]

Trying values of x in 11x + 1 = 45

x11x + 1Equals 45?
223no
334no
445yes
556no
667no

Questions

What is x in 11x + 1 = 45?

The solution of 11x + 1 = 45 is x = 4.

How do you solve 11x + 1 = 45?

Subtract 1 from both sides to get 11x = 44, then divide both sides by 11 to get x = 4.

How do I check the answer?

Replace x by 4: 11(4) + 1 = 45, which is 45.

Similar equations

    Solve 11x + 1 = 45: x = 4 (steps and check) | WordGPT