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Solve 6x + 1 = 91

The solution of 6x + 1 = 91 is x = 15.

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The lines y = 6x + 1 and y = 91 meet at x = 151012141618205060708090100110120130x = 15y = 6x + 1y = 91
The lines y = 6x + 1 and y = 91 meet at x = 15. 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=916x + 1 = 91
  2. 2

    Subtract 1 from both sides:

    6x+1−1=91−1 ⇒ 6x=906x + 1 - 1 = 91 - 1 \ \Rightarrow\ 6x = 90
  3. 3

    Divide both sides by 6:

    6x6=906 ⇒ x=15\frac{6x}{6} = \frac{90}{6} \ \Rightarrow\ x = 15
  4. 4

    Check: put x = 15 back into the equation.

    6⋅15+1=90+1=91✓6\cdot15 + 1 = 90 + 1 = 91 \checkmark
LaTeX source of the formulas on this page
\[ 6x + 1 = 91\ \Rightarrow\ x = 15 \]
\[ 6x + 1 = 91 \]
\[ 6x + 1 - 1 = 91 - 1 \ \Rightarrow\ 6x = 90 \]
\[ \frac{6x}{6} = \frac{90}{6} \ \Rightarrow\ x = 15 \]
\[ 6\cdot15 + 1 = 90 + 1 = 91 \checkmark \]

Trying values of x in 6x + 1 = 91

x6x + 1Equals 91?
1379no
1485no
1591yes
1697no
17103no

Questions

What is x in 6x + 1 = 91?

The solution of 6x + 1 = 91 is x = 15.

How do you solve 6x + 1 = 91?

Subtract 1 from both sides to get 6x = 90, then divide both sides by 6 to get x = 15.

How do I check the answer?

Replace x by 15: 6(15) + 1 = 91, which is 91.

Similar equations

    Solve 6x + 1 = 91: x = 15 (steps and check) | WordGPT