Solve 9x − 10 = 71

The solution of 9x − 10 = 71 is x = 9.

9x - 10 = 71\ \Rightarrow\ x = 9

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The lines y = 9x − 10 and y = 71 meet at x = 9. 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.
$9x - 10 = 71$
2
Add 10 to both sides:
$9x - 10 + 10 = 71 + 10 \ \Rightarrow\ 9x = 81$
3
Divide both sides by 9:
$\frac{9x}{9} = \frac{81}{9} \ \Rightarrow\ x = 9$
4
Check: put x = 9 back into the equation.
$9\cdot9 - 10 = 81 - 10 = 71 \checkmark$

LaTeX source of the formulas on this page

\[ 9x - 10 = 71\ \Rightarrow\ x = 9 \]
\[ 9x - 10 = 71 \]
\[ 9x - 10 + 10 = 71 + 10 \ \Rightarrow\ 9x = 81 \]
\[ \frac{9x}{9} = \frac{81}{9} \ \Rightarrow\ x = 9 \]
\[ 9\cdot9 - 10 = 81 - 10 = 71 \checkmark \]

Trying values of x in 9x − 10 = 71

x	9x − 10	Equals 71?
7	53	no
8	62	no
9	71	yes
10	80	no
11	89	no

Questions

What is x in 9x − 10 = 71?

The solution of 9x − 10 = 71 is x = 9.

How do you solve 9x − 10 = 71?

Add 10 to both sides to get 9x = 81, then divide both sides by 9 to get x = 9.

How do I check the answer?

Replace x by 9: 9(9) − 10 = 71, which is 71.

Solve 9x − 10 = 71

How to work it out

Trying values of x in 9x − 10 = 71

Questions

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