Solve 11x − 12 = −1

The solution of 11x − 12 = −1 is x = 1.

11x - 12 = -1\ \Rightarrow\ x = 1

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The lines y = 11x − 12 and y = -1 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.
$11x - 12 = -1$
2
Add 12 to both sides:
$11x - 12 + 12 = -1 + 12 \ \Rightarrow\ 11x = 11$
3
Divide both sides by 11:
$\frac{11x}{11} = \frac{11}{11} \ \Rightarrow\ x = 1$
4
Check: put x = 1 back into the equation.
$11\cdot1 - 12 = 11 - 12 = -1 \checkmark$

LaTeX source of the formulas on this page

\[ 11x - 12 = -1\ \Rightarrow\ x = 1 \]
\[ 11x - 12 = -1 \]
\[ 11x - 12 + 12 = -1 + 12 \ \Rightarrow\ 11x = 11 \]
\[ \frac{11x}{11} = \frac{11}{11} \ \Rightarrow\ x = 1 \]
\[ 11\cdot1 - 12 = 11 - 12 = -1 \checkmark \]

Trying values of x in 11x − 12 = −1

x	11x − 12	Equals -1?
-1	-23	no
0	-12	no
1	-1	yes
2	10	no
3	21	no

Questions

What is x in 11x − 12 = −1?

The solution of 11x − 12 = −1 is x = 1.

How do you solve 11x − 12 = −1?

Add 12 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) − 12 = -1, which is -1.

Solve 11x − 12 = −1

How to work it out

Trying values of x in 11x − 12 = −1

Questions

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