# How do you use symbols to make the statement 71_5_9_2_2 = 61 true?

Feb 28, 2016

$71 - 5 - 9 + 2 \times 2 = 61$

or simply:

$71 - 5 - 9 + 2 + 2 = 61$

#### Explanation:

Multiplication takes precedence over addition or subtraction.

Once you are left with a sequence of additions and subtractions, work from left to right.

$71 - 5 - 9 + {\underbrace{2 \times 2}}_{\times}$

$= {\underbrace{71 - 5}}_{-} - 9 + 4$

$= {\underbrace{66 - 9}}_{-} + 4$

$= {\underbrace{57 + 4}}_{+}$

$= 61$

Or:

$= {\underbrace{71 - 5}}_{-} - 9 + 2 + 2$

$= {\underbrace{66 - 9}}_{-} + 2 + 2$

$= {\underbrace{57 + 2}}_{+} + 2$

$= {\underbrace{59 + 2}}_{+}$

$= 61$