Solve 9x + 11 = −70

The solution of 9x + 11 = −70 is x = -9.

9x + 11 = -70\ \Rightarrow\ x = -9

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

The lines y = 9x + 11 and y = -70 meet at x = -9. 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.
$9x + 11 = -70$
2
Subtract 11 from both sides:
$9x + 11 - 11 = -70 - 11 \ \Rightarrow\ 9x = -81$
3
Divide both sides by 9:
$\frac{9x}{9} = \frac{-81}{9} \ \Rightarrow\ x = -9$
4
Check: put x = -9 back into the equation.
$9\cdot(-9) + 11 = -81 + 11 = -70 \checkmark$

LaTeX source of the formulas on this page

\[ 9x + 11 = -70\ \Rightarrow\ x = -9 \]
\[ 9x + 11 = -70 \]
\[ 9x + 11 - 11 = -70 - 11 \ \Rightarrow\ 9x = -81 \]
\[ \frac{9x}{9} = \frac{-81}{9} \ \Rightarrow\ x = -9 \]
\[ 9\cdot(-9) + 11 = -81 + 11 = -70 \checkmark \]

Trying values of x in 9x + 11 = −70

x	9x + 11	Equals -70?
-11	-88	no
-10	-79	no
-9	-70	yes
-8	-61	no
-7	-52	no

Questions

What is x in 9x + 11 = −70?

The solution of 9x + 11 = −70 is x = -9.

How do you solve 9x + 11 = −70?

Subtract 11 from both sides to get 9x = -81, then divide both sides by 9 to get x = -9.

How do I check the answer?

Replace x by -9: 9(-9) + 11 = -70, which is -70.

Solve 9x + 11 = −70

How to work it out

Trying values of x in 9x + 11 = −70

Questions

Similar equations