Solve 9x + 11 = −34

The solution of 9x + 11 = −34 is x = -5.

9x + 11 = -34\ \Rightarrow\ x = -5

Explain it step by step in chat Make a short video of it

The lines y = 9x + 11 and y = -34 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.
$9x + 11 = -34$
2
Subtract 11 from both sides:
$9x + 11 - 11 = -34 - 11 \ \Rightarrow\ 9x = -45$
3
Divide both sides by 9:
$\frac{9x}{9} = \frac{-45}{9} \ \Rightarrow\ x = -5$
4
Check: put x = -5 back into the equation.
$9\cdot(-5) + 11 = -45 + 11 = -34 \checkmark$

LaTeX source of the formulas on this page

\[ 9x + 11 = -34\ \Rightarrow\ x = -5 \]
\[ 9x + 11 = -34 \]
\[ 9x + 11 - 11 = -34 - 11 \ \Rightarrow\ 9x = -45 \]
\[ \frac{9x}{9} = \frac{-45}{9} \ \Rightarrow\ x = -5 \]
\[ 9\cdot(-5) + 11 = -45 + 11 = -34 \checkmark \]

Trying values of x in 9x + 11 = −34

x	9x + 11	Equals -34?
-7	-52	no
-6	-43	no
-5	-34	yes
-4	-25	no
-3	-16	no

Questions

What is x in 9x + 11 = −34?

The solution of 9x + 11 = −34 is x = -5.

How do you solve 9x + 11 = −34?

Subtract 11 from both sides to get 9x = -45, then divide both sides by 9 to get x = -5.

How do I check the answer?

Replace x by -5: 9(-5) + 11 = -34, which is -34.

Solve 9x + 11 = −34

How to work it out

Trying values of x in 9x + 11 = −34

Questions

Similar equations