Solve 9x − 11 = 97

The solution of 9x − 11 = 97 is x = 12.

9x - 11 = 97\ \Rightarrow\ x = 12

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The lines y = 9x − 11 and y = 97 meet at x = 12. 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.
$9x - 11 = 97$
2
Add 11 to both sides:
$9x - 11 + 11 = 97 + 11 \ \Rightarrow\ 9x = 108$
3
Divide both sides by 9:
$\frac{9x}{9} = \frac{108}{9} \ \Rightarrow\ x = 12$
4
Check: put x = 12 back into the equation.
$9\cdot12 - 11 = 108 - 11 = 97 \checkmark$

LaTeX source of the formulas on this page

\[ 9x - 11 = 97\ \Rightarrow\ x = 12 \]
\[ 9x - 11 = 97 \]
\[ 9x - 11 + 11 = 97 + 11 \ \Rightarrow\ 9x = 108 \]
\[ \frac{9x}{9} = \frac{108}{9} \ \Rightarrow\ x = 12 \]
\[ 9\cdot12 - 11 = 108 - 11 = 97 \checkmark \]

Trying values of x in 9x − 11 = 97

x	9x − 11	Equals 97?
10	79	no
11	88	no
12	97	yes
13	106	no
14	115	no

Questions

What is x in 9x − 11 = 97?

The solution of 9x − 11 = 97 is x = 12.

How do you solve 9x − 11 = 97?

Add 11 to both sides to get 9x = 108, then divide both sides by 9 to get x = 12.

How do I check the answer?

Replace x by 12: 9(12) − 11 = 97, which is 97.

Solve 9x − 11 = 97

How to work it out

Trying values of x in 9x − 11 = 97

Questions

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