Solve 7x − 1 = 97

The solution of 7x − 1 = 97 is x = 14.

7x - 1 = 97\ \Rightarrow\ x = 14

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

The lines y = 7x − 1 and y = 97 meet at x = 14. 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.
$7x - 1 = 97$
2
Add 1 to both sides:
$7x - 1 + 1 = 97 + 1 \ \Rightarrow\ 7x = 98$
3
Divide both sides by 7:
$\frac{7x}{7} = \frac{98}{7} \ \Rightarrow\ x = 14$
4
Check: put x = 14 back into the equation.
$7\cdot14 - 1 = 98 - 1 = 97 \checkmark$

LaTeX source of the formulas on this page

\[ 7x - 1 = 97\ \Rightarrow\ x = 14 \]
\[ 7x - 1 = 97 \]
\[ 7x - 1 + 1 = 97 + 1 \ \Rightarrow\ 7x = 98 \]
\[ \frac{7x}{7} = \frac{98}{7} \ \Rightarrow\ x = 14 \]
\[ 7\cdot14 - 1 = 98 - 1 = 97 \checkmark \]

Trying values of x in 7x − 1 = 97

x	7x − 1	Equals 97?
12	83	no
13	90	no
14	97	yes
15	104	no
16	111	no

Questions

What is x in 7x − 1 = 97?

The solution of 7x − 1 = 97 is x = 14.

How do you solve 7x − 1 = 97?

Add 1 to both sides to get 7x = 98, then divide both sides by 7 to get x = 14.

How do I check the answer?

Replace x by 14: 7(14) − 1 = 97, which is 97.

Solve 7x − 1 = 97

How to work it out

Trying values of x in 7x − 1 = 97

Questions

Similar equations