Answer/Step-by-step explanation:
1. [tex] 9 = 2a + 3 [/tex] ; 3
Let's solve for a.
[tex] 9 - 3 = 2a [/tex] (subtraction property of equality)
[tex] 6 = 2a [/tex]
[tex] \frac{6}{2} = a [/tex] (division property of equality)
[tex] 3 = a [/tex]
[tex] a = 3 [/tex]
Therefore, 3 is a solution to 9 = 2a + 3
2. [tex] 5n - (-30) = 5 [/tex] ; 7
[tex] 5n + 30 = 5 [/tex] (- × - = +)
[tex] 5n = 5 - 30 [/tex] (Subtraction property of equality)
[tex] 5n = -25 [/tex]
[tex] \frac{5n}{5} = \frac{-25}{5} [/tex] (division property of equality)
[tex] n = -5 [/tex]
Therefore, 7 is not a solution of [tex] 5n - (-30) = 5 [/tex]
3. [tex] 4.4r - 2.8 = 1.6 [/tex] ; 1
[tex] 4.4r = 1.6 + 2.8 [/tex]
[tex] 4.4r = 4.4 [/tex]
[tex] \frac{4.4r}{4.4} = \frac{4.4}{4.4} [/tex]
[tex] r = 1 [/tex]
Therefore, 1 is a solution of [tex] 4.4r - 2.8 = 1.6 [/tex].
