Solve 9x + 13 = −50

The solution of 9x + 13 = −50 is x = -7.

9x + 13 = -50\ \Rightarrow\ x = -7

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

The lines y = 9x + 13 and y = -50 meet at x = -7. 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.
$9x + 13 = -50$
2
Subtract 13 from both sides:
$9x + 13 - 13 = -50 - 13 \ \Rightarrow\ 9x = -63$
3
Divide both sides by 9:
$\frac{9x}{9} = \frac{-63}{9} \ \Rightarrow\ x = -7$
4
Check: put x = -7 back into the equation.
$9\cdot(-7) + 13 = -63 + 13 = -50 \checkmark$

LaTeX source of the formulas on this page

\[ 9x + 13 = -50\ \Rightarrow\ x = -7 \]
\[ 9x + 13 = -50 \]
\[ 9x + 13 - 13 = -50 - 13 \ \Rightarrow\ 9x = -63 \]
\[ \frac{9x}{9} = \frac{-63}{9} \ \Rightarrow\ x = -7 \]
\[ 9\cdot(-7) + 13 = -63 + 13 = -50 \checkmark \]

Trying values of x in 9x + 13 = −50

x	9x + 13	Equals -50?
-9	-68	no
-8	-59	no
-7	-50	yes
-6	-41	no
-5	-32	no

Questions

What is x in 9x + 13 = −50?

The solution of 9x + 13 = −50 is x = -7.

How do you solve 9x + 13 = −50?

Subtract 13 from both sides to get 9x = -63, then divide both sides by 9 to get x = -7.

How do I check the answer?

Replace x by -7: 9(-7) + 13 = -50, which is -50.

Solve 9x + 13 = −50

How to work it out

Trying values of x in 9x + 13 = −50

Questions

Similar equations