WordGPT

Solve 6x + 1 = 61

The solution of 6x + 1 = 61 is x = 10.

Explain it step by step in chatMake a short video of it
The lines y = 6x + 1 and y = 61 meet at x = 10468101214162030405060708090100x = 10y = 6x + 1y = 61
The lines y = 6x + 1 and y = 61 meet at x = 10. 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.

    6x+1=616x + 1 = 61
  2. 2

    Subtract 1 from both sides:

    6x+1−1=61−1 ⇒ 6x=606x + 1 - 1 = 61 - 1 \ \Rightarrow\ 6x = 60
  3. 3

    Divide both sides by 6:

    6x6=606 ⇒ x=10\frac{6x}{6} = \frac{60}{6} \ \Rightarrow\ x = 10
  4. 4

    Check: put x = 10 back into the equation.

    6⋅10+1=60+1=61✓6\cdot10 + 1 = 60 + 1 = 61 \checkmark
LaTeX source of the formulas on this page
\[ 6x + 1 = 61\ \Rightarrow\ x = 10 \]
\[ 6x + 1 = 61 \]
\[ 6x + 1 - 1 = 61 - 1 \ \Rightarrow\ 6x = 60 \]
\[ \frac{6x}{6} = \frac{60}{6} \ \Rightarrow\ x = 10 \]
\[ 6\cdot10 + 1 = 60 + 1 = 61 \checkmark \]

Trying values of x in 6x + 1 = 61

x6x + 1Equals 61?
849no
955no
1061yes
1167no
1273no

Questions

What is x in 6x + 1 = 61?

The solution of 6x + 1 = 61 is x = 10.

How do you solve 6x + 1 = 61?

Subtract 1 from both sides to get 6x = 60, then divide both sides by 6 to get x = 10.

How do I check the answer?

Replace x by 10: 6(10) + 1 = 61, which is 61.

Similar equations

    Solve 6x + 1 = 61: x = 10 (steps and check) | WordGPT