Solve 6x − 13 = 101

The solution of 6x − 13 = 101 is x = 19.

6x - 13 = 101\ \Rightarrow\ x = 19

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The lines y = 6x − 13 and y = 101 meet at x = 19. 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.
$6x - 13 = 101$
2
Add 13 to both sides:
$6x - 13 + 13 = 101 + 13 \ \Rightarrow\ 6x = 114$
3
Divide both sides by 6:
$\frac{6x}{6} = \frac{114}{6} \ \Rightarrow\ x = 19$
4
Check: put x = 19 back into the equation.
$6\cdot19 - 13 = 114 - 13 = 101 \checkmark$

LaTeX source of the formulas on this page

\[ 6x - 13 = 101\ \Rightarrow\ x = 19 \]
\[ 6x - 13 = 101 \]
\[ 6x - 13 + 13 = 101 + 13 \ \Rightarrow\ 6x = 114 \]
\[ \frac{6x}{6} = \frac{114}{6} \ \Rightarrow\ x = 19 \]
\[ 6\cdot19 - 13 = 114 - 13 = 101 \checkmark \]

Trying values of x in 6x − 13 = 101

x	6x − 13	Equals 101?
17	89	no
18	95	no
19	101	yes
20	107	no
21	113	no

Questions

What is x in 6x − 13 = 101?

The solution of 6x − 13 = 101 is x = 19.

How do you solve 6x − 13 = 101?

Add 13 to both sides to get 6x = 114, then divide both sides by 6 to get x = 19.

How do I check the answer?

Replace x by 19: 6(19) − 13 = 101, which is 101.

Solve 6x − 13 = 101

How to work it out

Trying values of x in 6x − 13 = 101

Questions

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