Solve 11x + 9 = −13

The solution of 11x + 9 = −13 is x = -2.

11x + 9 = -13\ \Rightarrow\ x = -2

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The lines y = 11x + 9 and y = -13 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 addition, then the multiplication.
$11x + 9 = -13$
2
Subtract 9 from both sides:
$11x + 9 - 9 = -13 - 9 \ \Rightarrow\ 11x = -22$
3
Divide both sides by 11:
$\frac{11x}{11} = \frac{-22}{11} \ \Rightarrow\ x = -2$
4
Check: put x = -2 back into the equation.
$11\cdot(-2) + 9 = -22 + 9 = -13 \checkmark$

LaTeX source of the formulas on this page

\[ 11x + 9 = -13\ \Rightarrow\ x = -2 \]
\[ 11x + 9 = -13 \]
\[ 11x + 9 - 9 = -13 - 9 \ \Rightarrow\ 11x = -22 \]
\[ \frac{11x}{11} = \frac{-22}{11} \ \Rightarrow\ x = -2 \]
\[ 11\cdot(-2) + 9 = -22 + 9 = -13 \checkmark \]

Trying values of x in 11x + 9 = −13

x	11x + 9	Equals -13?
-4	-35	no
-3	-24	no
-2	-13	yes
-1	-2	no
0	9	no

Questions

What is x in 11x + 9 = −13?

The solution of 11x + 9 = −13 is x = -2.

How do you solve 11x + 9 = −13?

Subtract 9 from 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 = -13, which is -13.

Solve 11x + 9 = −13

How to work it out

Trying values of x in 11x + 9 = −13

Questions

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