Solve 9x + 11 = −61

The solution of 9x + 11 = −61 is x = -8.

9x + 11 = -61\ \Rightarrow\ x = -8

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The lines y = 9x + 11 and y = -61 meet at x = -8. 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.
$9x + 11 = -61$
2
Subtract 11 from both sides:
$9x + 11 - 11 = -61 - 11 \ \Rightarrow\ 9x = -72$
3
Divide both sides by 9:
$\frac{9x}{9} = \frac{-72}{9} \ \Rightarrow\ x = -8$
4
Check: put x = -8 back into the equation.
$9\cdot(-8) + 11 = -72 + 11 = -61 \checkmark$

LaTeX source of the formulas on this page

\[ 9x + 11 = -61\ \Rightarrow\ x = -8 \]
\[ 9x + 11 = -61 \]
\[ 9x + 11 - 11 = -61 - 11 \ \Rightarrow\ 9x = -72 \]
\[ \frac{9x}{9} = \frac{-72}{9} \ \Rightarrow\ x = -8 \]
\[ 9\cdot(-8) + 11 = -72 + 11 = -61 \checkmark \]

Trying values of x in 9x + 11 = −61

x	9x + 11	Equals -61?
-10	-79	no
-9	-70	no
-8	-61	yes
-7	-52	no
-6	-43	no

Questions

What is x in 9x + 11 = −61?

The solution of 9x + 11 = −61 is x = -8.

How do you solve 9x + 11 = −61?

Subtract 11 from both sides to get 9x = -72, then divide both sides by 9 to get x = -8.

How do I check the answer?

Replace x by -8: 9(-8) + 11 = -61, which is -61.

Solve 9x + 11 = −61

How to work it out

Trying values of x in 9x + 11 = −61

Questions

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