Solve 9x − 11 = 34

The solution of 9x − 11 = 34 is x = 5.

9x - 11 = 34\ \Rightarrow\ x = 5

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The lines y = 9x − 11 and y = 34 meet at x = 5. 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.
$9x - 11 = 34$
2
Add 11 to both sides:
$9x - 11 + 11 = 34 + 11 \ \Rightarrow\ 9x = 45$
3
Divide both sides by 9:
$\frac{9x}{9} = \frac{45}{9} \ \Rightarrow\ x = 5$
4
Check: put x = 5 back into the equation.
$9\cdot5 - 11 = 45 - 11 = 34 \checkmark$

LaTeX source of the formulas on this page

\[ 9x - 11 = 34\ \Rightarrow\ x = 5 \]
\[ 9x - 11 = 34 \]
\[ 9x - 11 + 11 = 34 + 11 \ \Rightarrow\ 9x = 45 \]
\[ \frac{9x}{9} = \frac{45}{9} \ \Rightarrow\ x = 5 \]
\[ 9\cdot5 - 11 = 45 - 11 = 34 \checkmark \]

Trying values of x in 9x − 11 = 34

x	9x − 11	Equals 34?
3	16	no
4	25	no
5	34	yes
6	43	no
7	52	no

Questions

What is x in 9x − 11 = 34?

The solution of 9x − 11 = 34 is x = 5.

How do you solve 9x − 11 = 34?

Add 11 to both sides to get 9x = 45, then divide both sides by 9 to get x = 5.

How do I check the answer?

Replace x by 5: 9(5) − 11 = 34, which is 34.

Solve 9x − 11 = 34

How to work it out

Trying values of x in 9x − 11 = 34

Questions

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