Question

Tell whether the given number is a solution of each question. ( Must show work for credit)

Answer 1

Answer/Step-by-step explanation:

1. $9 = 2a + 3$ ; 3

Let's solve for a.

$9 - 3 = 2a$ (subtraction property of equality)

$6 = 2a$

$\frac{6}{2} = a$ (division property of equality)

$3 = a$

$a = 3$

Therefore, 3 is a solution to 9 = 2a + 3

2. $5n - (-30) = 5$ ; 7

$5n + 30 = 5$ (- × - = +)

$5n = 5 - 30$ (Subtraction property of equality)

$5n = -25$

$\frac{5n}{5} = \frac{-25}{5}$ (division property of equality)

$n = -5$

Therefore, 7 is not a solution of $5n - (-30) = 5$

3. $4.4r - 2.8 = 1.6$ ; 1

$4.4r = 1.6 + 2.8$

$4.4r = 4.4$

$\frac{4.4r}{4.4} = \frac{4.4}{4.4}$

$r = 1$

Therefore, 1 is a solution of $4.4r - 2.8 = 1.6$.