Solve 11x + 13 = −31

The solution of 11x + 13 = −31 is x = -4.

11x + 13 = -31\ \Rightarrow\ x = -4

Explain it step by step in chat Make a short video of it

The lines y = 11x + 13 and y = -31 meet at x = -4. 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.
$11x + 13 = -31$
2
Subtract 13 from both sides:
$11x + 13 - 13 = -31 - 13 \ \Rightarrow\ 11x = -44$
3
Divide both sides by 11:
$\frac{11x}{11} = \frac{-44}{11} \ \Rightarrow\ x = -4$
4
Check: put x = -4 back into the equation.
$11\cdot(-4) + 13 = -44 + 13 = -31 \checkmark$

LaTeX source of the formulas on this page

\[ 11x + 13 = -31\ \Rightarrow\ x = -4 \]
\[ 11x + 13 = -31 \]
\[ 11x + 13 - 13 = -31 - 13 \ \Rightarrow\ 11x = -44 \]
\[ \frac{11x}{11} = \frac{-44}{11} \ \Rightarrow\ x = -4 \]
\[ 11\cdot(-4) + 13 = -44 + 13 = -31 \checkmark \]

Trying values of x in 11x + 13 = −31

x	11x + 13	Equals -31?
-6	-53	no
-5	-42	no
-4	-31	yes
-3	-20	no
-2	-9	no

Questions

What is x in 11x + 13 = −31?

The solution of 11x + 13 = −31 is x = -4.

How do you solve 11x + 13 = −31?

Subtract 13 from both sides to get 11x = -44, then divide both sides by 11 to get x = -4.

How do I check the answer?

Replace x by -4: 11(-4) + 13 = -31, which is -31.

Solve 11x + 13 = −31

How to work it out

Trying values of x in 11x + 13 = −31

Questions

Similar equations