Solve 7x + 9 = −61

The solution of 7x + 9 = −61 is x = -10.

7x + 9 = -61\ \Rightarrow\ x = -10

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The lines y = 7x + 9 and y = -61 meet at x = -10. 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.
$7x + 9 = -61$
2
Subtract 9 from both sides:
$7x + 9 - 9 = -61 - 9 \ \Rightarrow\ 7x = -70$
3
Divide both sides by 7:
$\frac{7x}{7} = \frac{-70}{7} \ \Rightarrow\ x = -10$
4
Check: put x = -10 back into the equation.
$7\cdot(-10) + 9 = -70 + 9 = -61 \checkmark$

LaTeX source of the formulas on this page

\[ 7x + 9 = -61\ \Rightarrow\ x = -10 \]
\[ 7x + 9 = -61 \]
\[ 7x + 9 - 9 = -61 - 9 \ \Rightarrow\ 7x = -70 \]
\[ \frac{7x}{7} = \frac{-70}{7} \ \Rightarrow\ x = -10 \]
\[ 7\cdot(-10) + 9 = -70 + 9 = -61 \checkmark \]

Trying values of x in 7x + 9 = −61

x	7x + 9	Equals -61?
-12	-75	no
-11	-68	no
-10	-61	yes
-9	-54	no
-8	-47	no

Questions

What is x in 7x + 9 = −61?

The solution of 7x + 9 = −61 is x = -10.

How do you solve 7x + 9 = −61?

Subtract 9 from both sides to get 7x = -70, then divide both sides by 7 to get x = -10.

How do I check the answer?

Replace x by -10: 7(-10) + 9 = -61, which is -61.

Solve 7x + 9 = −61

How to work it out

Trying values of x in 7x + 9 = −61

Questions

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