Solve 9x − 11 = 151

The solution of 9x − 11 = 151 is x = 18.

9x - 11 = 151\ \Rightarrow\ x = 18

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The lines y = 9x − 11 and y = 151 meet at x = 18. 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.
$9x - 11 = 151$
2
Add 11 to both sides:
$9x - 11 + 11 = 151 + 11 \ \Rightarrow\ 9x = 162$
3
Divide both sides by 9:
$\frac{9x}{9} = \frac{162}{9} \ \Rightarrow\ x = 18$
4
Check: put x = 18 back into the equation.
$9\cdot18 - 11 = 162 - 11 = 151 \checkmark$

LaTeX source of the formulas on this page

\[ 9x - 11 = 151\ \Rightarrow\ x = 18 \]
\[ 9x - 11 = 151 \]
\[ 9x - 11 + 11 = 151 + 11 \ \Rightarrow\ 9x = 162 \]
\[ \frac{9x}{9} = \frac{162}{9} \ \Rightarrow\ x = 18 \]
\[ 9\cdot18 - 11 = 162 - 11 = 151 \checkmark \]

Trying values of x in 9x − 11 = 151

x	9x − 11	Equals 151?
16	133	no
17	142	no
18	151	yes
19	160	no
20	169	no

Questions

What is x in 9x − 11 = 151?

The solution of 9x − 11 = 151 is x = 18.

How do you solve 9x − 11 = 151?

Add 11 to both sides to get 9x = 162, then divide both sides by 9 to get x = 18.

How do I check the answer?

Replace x by 18: 9(18) − 11 = 151, which is 151.

Solve 9x − 11 = 151

How to work it out

Trying values of x in 9x − 11 = 151

Questions

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