Solve 11x − 1 = 219

The solution of 11x − 1 = 219 is x = 20.

11x - 1 = 219\ \Rightarrow\ x = 20

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The lines y = 11x − 1 and y = 219 meet at x = 20. 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.
$11x - 1 = 219$
2
Add 1 to both sides:
$11x - 1 + 1 = 219 + 1 \ \Rightarrow\ 11x = 220$
3
Divide both sides by 11:
$\frac{11x}{11} = \frac{220}{11} \ \Rightarrow\ x = 20$
4
Check: put x = 20 back into the equation.
$11\cdot20 - 1 = 220 - 1 = 219 \checkmark$

LaTeX source of the formulas on this page

\[ 11x - 1 = 219\ \Rightarrow\ x = 20 \]
\[ 11x - 1 = 219 \]
\[ 11x - 1 + 1 = 219 + 1 \ \Rightarrow\ 11x = 220 \]
\[ \frac{11x}{11} = \frac{220}{11} \ \Rightarrow\ x = 20 \]
\[ 11\cdot20 - 1 = 220 - 1 = 219 \checkmark \]

Trying values of x in 11x − 1 = 219

x	11x − 1	Equals 219?
18	197	no
19	208	no
20	219	yes
21	230	no
22	241	no

Questions

What is x in 11x − 1 = 219?

The solution of 11x − 1 = 219 is x = 20.

How do you solve 11x − 1 = 219?

Add 1 to both sides to get 11x = 220, then divide both sides by 11 to get x = 20.

How do I check the answer?

Replace x by 20: 11(20) − 1 = 219, which is 219.

Solve 11x − 1 = 219

How to work it out

Trying values of x in 11x − 1 = 219

Questions

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