Solve 11x + 13 = −9

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

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

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

LaTeX source of the formulas on this page

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

Trying values of x in 11x + 13 = −9

x	11x + 13	Equals -9?
-4	-31	no
-3	-20	no
-2	-9	yes
-1	2	no
0	13	no

Questions

What is x in 11x + 13 = −9?

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

How do you solve 11x + 13 = −9?

Subtract 13 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) + 13 = -9, which is -9.

Solve 11x + 13 = −9

How to work it out

Trying values of x in 11x + 13 = −9

Questions

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