Solve 9x + 11 = −16

The solution of 9x + 11 = −16 is x = -3.

9x + 11 = -16\ \Rightarrow\ x = -3

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The lines y = 9x + 11 and y = -16 meet at x = -3. 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.
$9x + 11 = -16$
2
Subtract 11 from both sides:
$9x + 11 - 11 = -16 - 11 \ \Rightarrow\ 9x = -27$
3
Divide both sides by 9:
$\frac{9x}{9} = \frac{-27}{9} \ \Rightarrow\ x = -3$
4
Check: put x = -3 back into the equation.
$9\cdot(-3) + 11 = -27 + 11 = -16 \checkmark$

LaTeX source of the formulas on this page

\[ 9x + 11 = -16\ \Rightarrow\ x = -3 \]
\[ 9x + 11 = -16 \]
\[ 9x + 11 - 11 = -16 - 11 \ \Rightarrow\ 9x = -27 \]
\[ \frac{9x}{9} = \frac{-27}{9} \ \Rightarrow\ x = -3 \]
\[ 9\cdot(-3) + 11 = -27 + 11 = -16 \checkmark \]

Trying values of x in 9x + 11 = −16

x	9x + 11	Equals -16?
-5	-34	no
-4	-25	no
-3	-16	yes
-2	-7	no
-1	2	no

Questions

What is x in 9x + 11 = −16?

The solution of 9x + 11 = −16 is x = -3.

How do you solve 9x + 11 = −16?

Subtract 11 from both sides to get 9x = -27, then divide both sides by 9 to get x = -3.

How do I check the answer?

Replace x by -3: 9(-3) + 11 = -16, which is -16.

Solve 9x + 11 = −16

How to work it out

Trying values of x in 9x + 11 = −16

Questions

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