Solve 11x − 10 = −21

The solution of 11x − 10 = −21 is x = -1.

11x - 10 = -21\ \Rightarrow\ x = -1

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The lines y = 11x − 10 and y = -21 meet at x = -1. 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.
$11x - 10 = -21$
2
Add 10 to both sides:
$11x - 10 + 10 = -21 + 10 \ \Rightarrow\ 11x = -11$
3
Divide both sides by 11:
$\frac{11x}{11} = \frac{-11}{11} \ \Rightarrow\ x = -1$
4
Check: put x = -1 back into the equation.
$11\cdot(-1) - 10 = -11 - 10 = -21 \checkmark$

LaTeX source of the formulas on this page

\[ 11x - 10 = -21\ \Rightarrow\ x = -1 \]
\[ 11x - 10 = -21 \]
\[ 11x - 10 + 10 = -21 + 10 \ \Rightarrow\ 11x = -11 \]
\[ \frac{11x}{11} = \frac{-11}{11} \ \Rightarrow\ x = -1 \]
\[ 11\cdot(-1) - 10 = -11 - 10 = -21 \checkmark \]

Trying values of x in 11x − 10 = −21

x	11x − 10	Equals -21?
-3	-43	no
-2	-32	no
-1	-21	yes
0	-10	no
1	1	no

Questions

What is x in 11x − 10 = −21?

The solution of 11x − 10 = −21 is x = -1.

How do you solve 11x − 10 = −21?

Add 10 to both sides to get 11x = -11, then divide both sides by 11 to get x = -1.

How do I check the answer?

Replace x by -1: 11(-1) − 10 = -21, which is -21.

Solve 11x − 10 = −21

How to work it out

Trying values of x in 11x − 10 = −21

Questions

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