Solve 11x − 1 = 109

The solution of 11x − 1 = 109 is x = 10.

11x - 1 = 109\ \Rightarrow\ x = 10

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The lines y = 11x − 1 and y = 109 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
The goal is to get x alone. Undo the operations in the opposite order: first the subtraction, then the multiplication.
$11x - 1 = 109$
2
Add 1 to both sides:
$11x - 1 + 1 = 109 + 1 \ \Rightarrow\ 11x = 110$
3
Divide both sides by 11:
$\frac{11x}{11} = \frac{110}{11} \ \Rightarrow\ x = 10$
4
Check: put x = 10 back into the equation.
$11\cdot10 - 1 = 110 - 1 = 109 \checkmark$

LaTeX source of the formulas on this page

\[ 11x - 1 = 109\ \Rightarrow\ x = 10 \]
\[ 11x - 1 = 109 \]
\[ 11x - 1 + 1 = 109 + 1 \ \Rightarrow\ 11x = 110 \]
\[ \frac{11x}{11} = \frac{110}{11} \ \Rightarrow\ x = 10 \]
\[ 11\cdot10 - 1 = 110 - 1 = 109 \checkmark \]

Trying values of x in 11x − 1 = 109

x	11x − 1	Equals 109?
8	87	no
9	98	no
10	109	yes
11	120	no
12	131	no

Questions

What is x in 11x − 1 = 109?

The solution of 11x − 1 = 109 is x = 10.

How do you solve 11x − 1 = 109?

Add 1 to both sides to get 11x = 110, then divide both sides by 11 to get x = 10.

How do I check the answer?

Replace x by 10: 11(10) − 1 = 109, which is 109.

Solve 11x − 1 = 109

How to work it out

Trying values of x in 11x − 1 = 109

Questions

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