Solve 11x − 1 = 175

The solution of 11x − 1 = 175 is x = 16.

11x - 1 = 175\ \Rightarrow\ x = 16

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The lines y = 11x − 1 and y = 175 meet at x = 16. 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.
$11x - 1 = 175$
2
Add 1 to both sides:
$11x - 1 + 1 = 175 + 1 \ \Rightarrow\ 11x = 176$
3
Divide both sides by 11:
$\frac{11x}{11} = \frac{176}{11} \ \Rightarrow\ x = 16$
4
Check: put x = 16 back into the equation.
$11\cdot16 - 1 = 176 - 1 = 175 \checkmark$

LaTeX source of the formulas on this page

\[ 11x - 1 = 175\ \Rightarrow\ x = 16 \]
\[ 11x - 1 = 175 \]
\[ 11x - 1 + 1 = 175 + 1 \ \Rightarrow\ 11x = 176 \]
\[ \frac{11x}{11} = \frac{176}{11} \ \Rightarrow\ x = 16 \]
\[ 11\cdot16 - 1 = 176 - 1 = 175 \checkmark \]

Trying values of x in 11x − 1 = 175

x	11x − 1	Equals 175?
14	153	no
15	164	no
16	175	yes
17	186	no
18	197	no

Questions

What is x in 11x − 1 = 175?

The solution of 11x − 1 = 175 is x = 16.

How do you solve 11x − 1 = 175?

Add 1 to both sides to get 11x = 176, then divide both sides by 11 to get x = 16.

How do I check the answer?

Replace x by 16: 11(16) − 1 = 175, which is 175.

Solve 11x − 1 = 175

How to work it out

Trying values of x in 11x − 1 = 175

Questions

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