Solve 9x − 4 = −49

The solution of 9x − 4 = −49 is x = -5.

9x - 4 = -49\ \Rightarrow\ x = -5

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The lines y = 9x − 4 and y = -49 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 subtraction, then the multiplication.
$9x - 4 = -49$
2
Add 4 to both sides:
$9x - 4 + 4 = -49 + 4 \ \Rightarrow\ 9x = -45$
3
Divide both sides by 9:
$\frac{9x}{9} = \frac{-45}{9} \ \Rightarrow\ x = -5$
4
Check: put x = -5 back into the equation.
$9\cdot(-5) - 4 = -45 - 4 = -49 \checkmark$

LaTeX source of the formulas on this page

\[ 9x - 4 = -49\ \Rightarrow\ x = -5 \]
\[ 9x - 4 = -49 \]
\[ 9x - 4 + 4 = -49 + 4 \ \Rightarrow\ 9x = -45 \]
\[ \frac{9x}{9} = \frac{-45}{9} \ \Rightarrow\ x = -5 \]
\[ 9\cdot(-5) - 4 = -45 - 4 = -49 \checkmark \]

Trying values of x in 9x − 4 = −49

x	9x − 4	Equals -49?
-7	-67	no
-6	-58	no
-5	-49	yes
-4	-40	no
-3	-31	no

Questions

What is x in 9x − 4 = −49?

The solution of 9x − 4 = −49 is x = -5.

How do you solve 9x − 4 = −49?

Add 4 to 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) − 4 = -49, which is -49.

Solve 9x − 4 = −49

How to work it out

Trying values of x in 9x − 4 = −49

Questions

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