Solve 6x − 11 = 91

The solution of 6x − 11 = 91 is x = 17.

6x - 11 = 91\ \Rightarrow\ x = 17

Explain it step by step in chat Make a short video of it

The lines y = 6x − 11 and y = 91 meet at x = 17. The solution of the equation is the x-coordinate of the point where the two sides are equal.

How to work it out

1
The goal is to get x alone. Undo the operations in the opposite order: first the subtraction, then the multiplication.
$6x - 11 = 91$
2
Add 11 to both sides:
$6x - 11 + 11 = 91 + 11 \ \Rightarrow\ 6x = 102$
3
Divide both sides by 6:
$\frac{6x}{6} = \frac{102}{6} \ \Rightarrow\ x = 17$
4
Check: put x = 17 back into the equation.
$6\cdot17 - 11 = 102 - 11 = 91 \checkmark$

LaTeX source of the formulas on this page

\[ 6x - 11 = 91\ \Rightarrow\ x = 17 \]
\[ 6x - 11 = 91 \]
\[ 6x - 11 + 11 = 91 + 11 \ \Rightarrow\ 6x = 102 \]
\[ \frac{6x}{6} = \frac{102}{6} \ \Rightarrow\ x = 17 \]
\[ 6\cdot17 - 11 = 102 - 11 = 91 \checkmark \]

Trying values of x in 6x − 11 = 91

x	6x − 11	Equals 91?
15	79	no
16	85	no
17	91	yes
18	97	no
19	103	no

Questions

What is x in 6x − 11 = 91?

The solution of 6x − 11 = 91 is x = 17.

How do you solve 6x − 11 = 91?

Add 11 to both sides to get 6x = 102, then divide both sides by 6 to get x = 17.

How do I check the answer?

Replace x by 17: 6(17) − 11 = 91, which is 91.

Solve 6x − 11 = 91

How to work it out

Trying values of x in 6x − 11 = 91

Questions

Similar equations