Solve 7x + 13 = 97

The solution of 7x + 13 = 97 is x = 12.

7x + 13 = 97\ \Rightarrow\ x = 12

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The lines y = 7x + 13 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.
$7x + 13 = 97$
2
Subtract 13 from both sides:
$7x + 13 - 13 = 97 - 13 \ \Rightarrow\ 7x = 84$
3
Divide both sides by 7:
$\frac{7x}{7} = \frac{84}{7} \ \Rightarrow\ x = 12$
4
Check: put x = 12 back into the equation.
$7\cdot12 + 13 = 84 + 13 = 97 \checkmark$

LaTeX source of the formulas on this page

\[ 7x + 13 = 97\ \Rightarrow\ x = 12 \]
\[ 7x + 13 = 97 \]
\[ 7x + 13 - 13 = 97 - 13 \ \Rightarrow\ 7x = 84 \]
\[ \frac{7x}{7} = \frac{84}{7} \ \Rightarrow\ x = 12 \]
\[ 7\cdot12 + 13 = 84 + 13 = 97 \checkmark \]

Trying values of x in 7x + 13 = 97

x	7x + 13	Equals 97?
10	83	no
11	90	no
12	97	yes
13	104	no
14	111	no

Questions

What is x in 7x + 13 = 97?

The solution of 7x + 13 = 97 is x = 12.

How do you solve 7x + 13 = 97?

Subtract 13 from both sides to get 7x = 84, then divide both sides by 7 to get x = 12.

How do I check the answer?

Replace x by 12: 7(12) + 13 = 97, which is 97.

Solve 7x + 13 = 97

How to work it out

Trying values of x in 7x + 13 = 97

Questions

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