Solve 10x + 1 = −99

The solution of 10x + 1 = −99 is x = -10.

10x + 1 = -99\ \Rightarrow\ x = -10

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The lines y = 10x + 1 and y = -99 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.
$10x + 1 = -99$
2
Subtract 1 from both sides:
$10x + 1 - 1 = -99 - 1 \ \Rightarrow\ 10x = -100$
3
Divide both sides by 10:
$\frac{10x}{10} = \frac{-100}{10} \ \Rightarrow\ x = -10$
4
Check: put x = -10 back into the equation.
$10\cdot(-10) + 1 = -100 + 1 = -99 \checkmark$

LaTeX source of the formulas on this page

\[ 10x + 1 = -99\ \Rightarrow\ x = -10 \]
\[ 10x + 1 = -99 \]
\[ 10x + 1 - 1 = -99 - 1 \ \Rightarrow\ 10x = -100 \]
\[ \frac{10x}{10} = \frac{-100}{10} \ \Rightarrow\ x = -10 \]
\[ 10\cdot(-10) + 1 = -100 + 1 = -99 \checkmark \]

Trying values of x in 10x + 1 = −99

x	10x + 1	Equals -99?
-12	-119	no
-11	-109	no
-10	-99	yes
-9	-89	no
-8	-79	no

Questions

What is x in 10x + 1 = −99?

The solution of 10x + 1 = −99 is x = -10.

How do you solve 10x + 1 = −99?

Subtract 1 from both sides to get 10x = -100, then divide both sides by 10 to get x = -10.

How do I check the answer?

Replace x by -10: 10(-10) + 1 = -99, which is -99.

Solve 10x + 1 = −99

How to work it out

Trying values of x in 10x + 1 = −99

Questions

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