Solve 10x − 9 = 101

The solution of 10x − 9 = 101 is x = 11.

10x - 9 = 101\ \Rightarrow\ x = 11

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The lines y = 10x − 9 and y = 101 meet at x = 11. 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.
$10x - 9 = 101$
2
Add 9 to both sides:
$10x - 9 + 9 = 101 + 9 \ \Rightarrow\ 10x = 110$
3
Divide both sides by 10:
$\frac{10x}{10} = \frac{110}{10} \ \Rightarrow\ x = 11$
4
Check: put x = 11 back into the equation.
$10\cdot11 - 9 = 110 - 9 = 101 \checkmark$

LaTeX source of the formulas on this page

\[ 10x - 9 = 101\ \Rightarrow\ x = 11 \]
\[ 10x - 9 = 101 \]
\[ 10x - 9 + 9 = 101 + 9 \ \Rightarrow\ 10x = 110 \]
\[ \frac{10x}{10} = \frac{110}{10} \ \Rightarrow\ x = 11 \]
\[ 10\cdot11 - 9 = 110 - 9 = 101 \checkmark \]

Trying values of x in 10x − 9 = 101

x	10x − 9	Equals 101?
9	81	no
10	91	no
11	101	yes
12	111	no
13	121	no

Questions

What is x in 10x − 9 = 101?

The solution of 10x − 9 = 101 is x = 11.

How do you solve 10x − 9 = 101?

Add 9 to both sides to get 10x = 110, then divide both sides by 10 to get x = 11.

How do I check the answer?

Replace x by 11: 10(11) − 9 = 101, which is 101.

Solve 10x − 9 = 101

How to work it out

Trying values of x in 10x − 9 = 101

Questions

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