WordGPT

Solve 11x + 1 = 56

The solution of 11x + 1 = 56 is x = 5.

Explain it step by step in chatMake a short video of it
The lines y = 11x + 1 and y = 56 meet at x = 5246810-2020406080100120x = 5y = 11x + 1y = 56
The lines y = 11x + 1 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.

    11x+1=5611x + 1 = 56
  2. 2

    Subtract 1 from both sides:

    11x+1−1=56−1 ⇒ 11x=5511x + 1 - 1 = 56 - 1 \ \Rightarrow\ 11x = 55
  3. 3

    Divide both sides by 11:

    11x11=5511 ⇒ x=5\frac{11x}{11} = \frac{55}{11} \ \Rightarrow\ x = 5
  4. 4

    Check: put x = 5 back into the equation.

    11⋅5+1=55+1=56✓11\cdot5 + 1 = 55 + 1 = 56 \checkmark
LaTeX source of the formulas on this page
\[ 11x + 1 = 56\ \Rightarrow\ x = 5 \]
\[ 11x + 1 = 56 \]
\[ 11x + 1 - 1 = 56 - 1 \ \Rightarrow\ 11x = 55 \]
\[ \frac{11x}{11} = \frac{55}{11} \ \Rightarrow\ x = 5 \]
\[ 11\cdot5 + 1 = 55 + 1 = 56 \checkmark \]

Trying values of x in 11x + 1 = 56

x11x + 1Equals 56?
334no
445no
556yes
667no
778no

Questions

What is x in 11x + 1 = 56?

The solution of 11x + 1 = 56 is x = 5.

How do you solve 11x + 1 = 56?

Subtract 1 from both sides to get 11x = 55, then divide both sides by 11 to get x = 5.

How do I check the answer?

Replace x by 5: 11(5) + 1 = 56, which is 56.

Similar equations

    Solve 11x + 1 = 56: x = 5 (steps and check) | WordGPT