Solve 11x − 9 = −31

The solution of 11x − 9 = −31 is x = -2.

11x - 9 = -31\ \Rightarrow\ x = -2

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The lines y = 11x − 9 and y = -31 meet at x = -2. 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.
$11x - 9 = -31$
2
Add 9 to both sides:
$11x - 9 + 9 = -31 + 9 \ \Rightarrow\ 11x = -22$
3
Divide both sides by 11:
$\frac{11x}{11} = \frac{-22}{11} \ \Rightarrow\ x = -2$
4
Check: put x = -2 back into the equation.
$11\cdot(-2) - 9 = -22 - 9 = -31 \checkmark$

LaTeX source of the formulas on this page

\[ 11x - 9 = -31\ \Rightarrow\ x = -2 \]
\[ 11x - 9 = -31 \]
\[ 11x - 9 + 9 = -31 + 9 \ \Rightarrow\ 11x = -22 \]
\[ \frac{11x}{11} = \frac{-22}{11} \ \Rightarrow\ x = -2 \]
\[ 11\cdot(-2) - 9 = -22 - 9 = -31 \checkmark \]

Trying values of x in 11x − 9 = −31

x	11x − 9	Equals -31?
-4	-53	no
-3	-42	no
-2	-31	yes
-1	-20	no
0	-9	no

Questions

What is x in 11x − 9 = −31?

The solution of 11x − 9 = −31 is x = -2.

How do you solve 11x − 9 = −31?

Add 9 to both sides to get 11x = -22, then divide both sides by 11 to get x = -2.

How do I check the answer?

Replace x by -2: 11(-2) − 9 = -31, which is -31.

Solve 11x − 9 = −31

How to work it out

Trying values of x in 11x − 9 = −31

Questions

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