Solve 11x − 13 = 31

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

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

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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 subtraction, then the multiplication.
$11x - 13 = 31$
2
Add 13 to 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.
$11\cdot4 - 13 = 44 - 13 = 31 \checkmark$

LaTeX source of the formulas on this page

\[ 11x - 13 = 31\ \Rightarrow\ x = 4 \]
\[ 11x - 13 = 31 \]
\[ 11x - 13 + 13 = 31 + 13 \ \Rightarrow\ 11x = 44 \]
\[ \frac{11x}{11} = \frac{44}{11} \ \Rightarrow\ x = 4 \]
\[ 11\cdot4 - 13 = 44 - 13 = 31 \checkmark \]

Trying values of x in 11x − 13 = 31

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

Add 13 to 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

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