Solve 11x − 13 = −57

The solution of 11x − 13 = −57 is x = -4.

11x - 13 = -57\ \Rightarrow\ x = -4

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The lines y = 11x − 13 and y = -57 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.
$11x - 13 = -57$
2
Add 13 to both sides:
$11x - 13 + 13 = -57 + 13 \ \Rightarrow\ 11x = -44$
3
Divide both sides by 11:
$\frac{11x}{11} = \frac{-44}{11} \ \Rightarrow\ x = -4$
4
Check: put x = -4 back into the equation.
$11\cdot(-4) - 13 = -44 - 13 = -57 \checkmark$

LaTeX source of the formulas on this page

\[ 11x - 13 = -57\ \Rightarrow\ x = -4 \]
\[ 11x - 13 = -57 \]
\[ 11x - 13 + 13 = -57 + 13 \ \Rightarrow\ 11x = -44 \]
\[ \frac{11x}{11} = \frac{-44}{11} \ \Rightarrow\ x = -4 \]
\[ 11\cdot(-4) - 13 = -44 - 13 = -57 \checkmark \]

Trying values of x in 11x − 13 = −57

x	11x − 13	Equals -57?
-6	-79	no
-5	-68	no
-4	-57	yes
-3	-46	no
-2	-35	no

Questions

What is x in 11x − 13 = −57?

The solution of 11x − 13 = −57 is x = -4.

How do you solve 11x − 13 = −57?

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 = -57, which is -57.

Solve 11x − 13 = −57

How to work it out

Trying values of x in 11x − 13 = −57

Questions

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