Solve 11x + 1 = −109

The solution of 11x + 1 = −109 is x = -10.

11x + 1 = -109\ \Rightarrow\ x = -10

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The lines y = 11x + 1 and y = -109 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 addition, then the multiplication.
$11x + 1 = -109$
2
Subtract 1 from both sides:
$11x + 1 - 1 = -109 - 1 \ \Rightarrow\ 11x = -110$
3
Divide both sides by 11:
$\frac{11x}{11} = \frac{-110}{11} \ \Rightarrow\ x = -10$
4
Check: put x = -10 back into the equation.
$11\cdot(-10) + 1 = -110 + 1 = -109 \checkmark$

LaTeX source of the formulas on this page

\[ 11x + 1 = -109\ \Rightarrow\ x = -10 \]
\[ 11x + 1 = -109 \]
\[ 11x + 1 - 1 = -109 - 1 \ \Rightarrow\ 11x = -110 \]
\[ \frac{11x}{11} = \frac{-110}{11} \ \Rightarrow\ x = -10 \]
\[ 11\cdot(-10) + 1 = -110 + 1 = -109 \checkmark \]

Trying values of x in 11x + 1 = −109

x	11x + 1	Equals -109?
-12	-131	no
-11	-120	no
-10	-109	yes
-9	-98	no
-8	-87	no

Questions

What is x in 11x + 1 = −109?

The solution of 11x + 1 = −109 is x = -10.

How do you solve 11x + 1 = −109?

Subtract 1 from both sides to get 11x = -110, then divide both sides by 11 to get x = -10.

How do I check the answer?

Replace x by -10: 11(-10) + 1 = -109, which is -109.

Solve 11x + 1 = −109

How to work it out

Trying values of x in 11x + 1 = −109

Questions

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