Solve 7x + 1 = 71

The solution of 7x + 1 = 71 is x = 10.

7x + 1 = 71\ \Rightarrow\ x = 10

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The lines y = 7x + 1 and y = 71 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.
$7x + 1 = 71$
2
Subtract 1 from both sides:
$7x + 1 - 1 = 71 - 1 \ \Rightarrow\ 7x = 70$
3
Divide both sides by 7:
$\frac{7x}{7} = \frac{70}{7} \ \Rightarrow\ x = 10$
4
Check: put x = 10 back into the equation.
$7\cdot10 + 1 = 70 + 1 = 71 \checkmark$

LaTeX source of the formulas on this page

\[ 7x + 1 = 71\ \Rightarrow\ x = 10 \]
\[ 7x + 1 = 71 \]
\[ 7x + 1 - 1 = 71 - 1 \ \Rightarrow\ 7x = 70 \]
\[ \frac{7x}{7} = \frac{70}{7} \ \Rightarrow\ x = 10 \]
\[ 7\cdot10 + 1 = 70 + 1 = 71 \checkmark \]

Trying values of x in 7x + 1 = 71

x	7x + 1	Equals 71?
8	57	no
9	64	no
10	71	yes
11	78	no
12	85	no

Questions

What is x in 7x + 1 = 71?

The solution of 7x + 1 = 71 is x = 10.

How do you solve 7x + 1 = 71?

Subtract 1 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) + 1 = 71, which is 71.

Solve 7x + 1 = 71

How to work it out

Trying values of x in 7x + 1 = 71

Questions

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