Solve 11x + 13 = −97

The solution of 11x + 13 = −97 is x = -10.

11x + 13 = -97\ \Rightarrow\ x = -10

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The lines y = 11x + 13 and y = -97 meet at x = -10. 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.
$11x + 13 = -97$
2
Subtract 13 from both sides:
$11x + 13 - 13 = -97 - 13 \ \Rightarrow\ 11x = -110$
3
Divide both sides by 11:
$\frac{11x}{11} = \frac{-110}{11} \ \Rightarrow\ x = -10$
4
Check: put x = -10 back into the equation.
$11\cdot(-10) + 13 = -110 + 13 = -97 \checkmark$

LaTeX source of the formulas on this page

\[ 11x + 13 = -97\ \Rightarrow\ x = -10 \]
\[ 11x + 13 = -97 \]
\[ 11x + 13 - 13 = -97 - 13 \ \Rightarrow\ 11x = -110 \]
\[ \frac{11x}{11} = \frac{-110}{11} \ \Rightarrow\ x = -10 \]
\[ 11\cdot(-10) + 13 = -110 + 13 = -97 \checkmark \]

Trying values of x in 11x + 13 = −97

x	11x + 13	Equals -97?
-12	-119	no
-11	-108	no
-10	-97	yes
-9	-86	no
-8	-75	no

Questions

What is x in 11x + 13 = −97?

The solution of 11x + 13 = −97 is x = -10.

How do you solve 11x + 13 = −97?

Subtract 13 from both sides to get 11x = -110, then divide both sides by 11 to get x = -10.

How do I check the answer?

Replace x by -10: 11(-10) + 13 = -97, which is -97.

Solve 11x + 13 = −97

How to work it out

Trying values of x in 11x + 13 = −97

Questions

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