Solve 11x + 9 = −101

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

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

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The lines y = 11x + 9 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 addition, then the multiplication.
$11x + 9 = -101$
2
Subtract 9 from both sides:
$11x + 9 - 9 = -101 - 9 \ \Rightarrow\ 11x = -110$
3
Divide both sides by 11:
$\frac{11x}{11} = \frac{-110}{11} \ \Rightarrow\ x = -10$
4
Check: put x = -10 back into the equation.
$11\cdot(-10) + 9 = -110 + 9 = -101 \checkmark$

LaTeX source of the formulas on this page

\[ 11x + 9 = -101\ \Rightarrow\ x = -10 \]
\[ 11x + 9 = -101 \]
\[ 11x + 9 - 9 = -101 - 9 \ \Rightarrow\ 11x = -110 \]
\[ \frac{11x}{11} = \frac{-110}{11} \ \Rightarrow\ x = -10 \]
\[ 11\cdot(-10) + 9 = -110 + 9 = -101 \checkmark \]

Trying values of x in 11x + 9 = −101

x	11x + 9	Equals -101?
-12	-123	no
-11	-112	no
-10	-101	yes
-9	-90	no
-8	-79	no

Questions

What is x in 11x + 9 = −101?

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

How do you solve 11x + 9 = −101?

Subtract 9 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) + 9 = -101, which is -101.

Solve 11x + 9 = −101

How to work it out

Trying values of x in 11x + 9 = −101

Questions

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