Solve 9x − 2 = 169

The solution of 9x − 2 = 169 is x = 19.

9x - 2 = 169\ \Rightarrow\ x = 19

Explain it step by step in chat Make a short video of it

The lines y = 9x − 2 and y = 169 meet at x = 19. 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.
$9x - 2 = 169$
2
Add 2 to both sides:
$9x - 2 + 2 = 169 + 2 \ \Rightarrow\ 9x = 171$
3
Divide both sides by 9:
$\frac{9x}{9} = \frac{171}{9} \ \Rightarrow\ x = 19$
4
Check: put x = 19 back into the equation.
$9\cdot19 - 2 = 171 - 2 = 169 \checkmark$

LaTeX source of the formulas on this page

\[ 9x - 2 = 169\ \Rightarrow\ x = 19 \]
\[ 9x - 2 = 169 \]
\[ 9x - 2 + 2 = 169 + 2 \ \Rightarrow\ 9x = 171 \]
\[ \frac{9x}{9} = \frac{171}{9} \ \Rightarrow\ x = 19 \]
\[ 9\cdot19 - 2 = 171 - 2 = 169 \checkmark \]

Trying values of x in 9x − 2 = 169

x	9x − 2	Equals 169?
17	151	no
18	160	no
19	169	yes
20	178	no
21	187	no

Questions

What is x in 9x − 2 = 169?

The solution of 9x − 2 = 169 is x = 19.

How do you solve 9x − 2 = 169?

Add 2 to both sides to get 9x = 171, then divide both sides by 9 to get x = 19.

How do I check the answer?

Replace x by 19: 9(19) − 2 = 169, which is 169.

Solve 9x − 2 = 169

How to work it out

Trying values of x in 9x − 2 = 169

Questions

Similar equations