WordGPT

Solve 11x + 6 = 61

The solution of 11x + 6 = 61 is x = 5.

Explain it step by step in chatMake a short video of it
The lines y = 11x + 6 and y = 61 meet at x = 524681020406080100120140x = 5y = 11x + 6y = 61
The lines y = 11x + 6 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.

    11x+6=6111x + 6 = 61
  2. 2

    Subtract 6 from both sides:

    11x+6−6=61−6 ⇒ 11x=5511x + 6 - 6 = 61 - 6 \ \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+6=55+6=61✓11\cdot5 + 6 = 55 + 6 = 61 \checkmark
LaTeX source of the formulas on this page
\[ 11x + 6 = 61\ \Rightarrow\ x = 5 \]
\[ 11x + 6 = 61 \]
\[ 11x + 6 - 6 = 61 - 6 \ \Rightarrow\ 11x = 55 \]
\[ \frac{11x}{11} = \frac{55}{11} \ \Rightarrow\ x = 5 \]
\[ 11\cdot5 + 6 = 55 + 6 = 61 \checkmark \]

Trying values of x in 11x + 6 = 61

x11x + 6Equals 61?
339no
450no
561yes
672no
783no

Questions

What is x in 11x + 6 = 61?

The solution of 11x + 6 = 61 is x = 5.

How do you solve 11x + 6 = 61?

Subtract 6 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) + 6 = 61, which is 61.

Similar equations

    Solve 11x + 6 = 61: x = 5 (steps and check) | WordGPT