Solve 11x + 13 = −42

The solution of 11x + 13 = −42 is x = -5.

11x + 13 = -42\ \Rightarrow\ x = -5

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The lines y = 11x + 13 and y = -42 meet at x = -5. 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.
$11x + 13 = -42$
2
Subtract 13 from both sides:
$11x + 13 - 13 = -42 - 13 \ \Rightarrow\ 11x = -55$
3
Divide both sides by 11:
$\frac{11x}{11} = \frac{-55}{11} \ \Rightarrow\ x = -5$
4
Check: put x = -5 back into the equation.
$11\cdot(-5) + 13 = -55 + 13 = -42 \checkmark$

LaTeX source of the formulas on this page

\[ 11x + 13 = -42\ \Rightarrow\ x = -5 \]
\[ 11x + 13 = -42 \]
\[ 11x + 13 - 13 = -42 - 13 \ \Rightarrow\ 11x = -55 \]
\[ \frac{11x}{11} = \frac{-55}{11} \ \Rightarrow\ x = -5 \]
\[ 11\cdot(-5) + 13 = -55 + 13 = -42 \checkmark \]

Trying values of x in 11x + 13 = −42

x	11x + 13	Equals -42?
-7	-64	no
-6	-53	no
-5	-42	yes
-4	-31	no
-3	-20	no

Questions

What is x in 11x + 13 = −42?

The solution of 11x + 13 = −42 is x = -5.

How do you solve 11x + 13 = −42?

Subtract 13 from both sides to get 11x = -55, then divide both sides by 11 to get x = -5.

How do I check the answer?

Replace x by -5: 11(-5) + 13 = -42, which is -42.

Solve 11x + 13 = −42

How to work it out

Trying values of x in 11x + 13 = −42

Questions

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