Question

resolva as equações

a) 8r+10=2r+58 (b) 7f-11=2f+34
c) 10h+14=2h+55 (d) 6q-8=4q+20
(e) 9c+15=4c+75 (f) 5s-13=2s+8​

Answer 1

a)

$8r + 10 = 2r + 58 \\ 8r - 2r = 58 - 10 \\ 6r = 48 \\ r = \frac{48}{6} \\ r = 8$

b)

$7f - 11 = 2f + 34 \\ 7f - 2f = 34 + 11 \\ 5f = 45 \\ f = \frac{45}{5} \\ f = 9$

c)

$10h + 14 = 2h + 55 \\ 10h - 2h = 55 - 14 \\ 8h = 41 \\ h = \frac{41}{8}$

d)

$6q - 8 = 4q + 20 \\ 6q - 4q = 20 + 8 \\ 2q = 28 \\ q = \frac{28}{2} \\ q = 14$

e)

$9c + 15 = 4c + 75 \\ 9c - 4c = 75 - 15 \\ 5c = 60 \\ c = \frac{60}{5} \\ c = 12$

f)

$5s - 13 = 2s + 8 \\ 5s - 2s = 8 + 13 \\ 3s = 21 \\ s = \frac{21}{3} \\ s = 7$