Solve 8x + 1 = 97

The solution of 8x + 1 = 97 is x = 12.

8x + 1 = 97\ \Rightarrow\ x = 12

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The lines y = 8x + 1 and y = 97 meet at x = 12. 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.
$8x + 1 = 97$
2
Subtract 1 from both sides:
$8x + 1 - 1 = 97 - 1 \ \Rightarrow\ 8x = 96$
3
Divide both sides by 8:
$\frac{8x}{8} = \frac{96}{8} \ \Rightarrow\ x = 12$
4
Check: put x = 12 back into the equation.
$8\cdot12 + 1 = 96 + 1 = 97 \checkmark$

LaTeX source of the formulas on this page

\[ 8x + 1 = 97\ \Rightarrow\ x = 12 \]
\[ 8x + 1 = 97 \]
\[ 8x + 1 - 1 = 97 - 1 \ \Rightarrow\ 8x = 96 \]
\[ \frac{8x}{8} = \frac{96}{8} \ \Rightarrow\ x = 12 \]
\[ 8\cdot12 + 1 = 96 + 1 = 97 \checkmark \]

Trying values of x in 8x + 1 = 97

x	8x + 1	Equals 97?
10	81	no
11	89	no
12	97	yes
13	105	no
14	113	no

Questions

What is x in 8x + 1 = 97?

The solution of 8x + 1 = 97 is x = 12.

How do you solve 8x + 1 = 97?

Subtract 1 from both sides to get 8x = 96, then divide both sides by 8 to get x = 12.

How do I check the answer?

Replace x by 12: 8(12) + 1 = 97, which is 97.

Solve 8x + 1 = 97

How to work it out

Trying values of x in 8x + 1 = 97

Questions

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