Solve 9x − 11 = −101

The solution of 9x − 11 = −101 is x = -10.

9x - 11 = -101\ \Rightarrow\ x = -10

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

The lines y = 9x − 11 and y = -101 meet at x = -10. 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.
$9x - 11 = -101$
2
Add 11 to both sides:
$9x - 11 + 11 = -101 + 11 \ \Rightarrow\ 9x = -90$
3
Divide both sides by 9:
$\frac{9x}{9} = \frac{-90}{9} \ \Rightarrow\ x = -10$
4
Check: put x = -10 back into the equation.
$9\cdot(-10) - 11 = -90 - 11 = -101 \checkmark$

LaTeX source of the formulas on this page

\[ 9x - 11 = -101\ \Rightarrow\ x = -10 \]
\[ 9x - 11 = -101 \]
\[ 9x - 11 + 11 = -101 + 11 \ \Rightarrow\ 9x = -90 \]
\[ \frac{9x}{9} = \frac{-90}{9} \ \Rightarrow\ x = -10 \]
\[ 9\cdot(-10) - 11 = -90 - 11 = -101 \checkmark \]

Trying values of x in 9x − 11 = −101

x	9x − 11	Equals -101?
-12	-119	no
-11	-110	no
-10	-101	yes
-9	-92	no
-8	-83	no

Questions

What is x in 9x − 11 = −101?

The solution of 9x − 11 = −101 is x = -10.

How do you solve 9x − 11 = −101?

Add 11 to both sides to get 9x = -90, then divide both sides by 9 to get x = -10.

How do I check the answer?

Replace x by -10: 9(-10) − 11 = -101, which is -101.

Solve 9x − 11 = −101

How to work it out

Trying values of x in 9x − 11 = −101

Questions

Similar equations