Question

Resolva os sistemas de equações:

a) a + b = 17
a - b = 1

b) 3y = 2x
-2x - 5y = 0

c) 2p + q = 4
p - 5q = -1

Answer 1

a)
a = b + 1
b + 1 + b = 17
2b = 16

b=8

a = 8+1
a=9

b) y = $\frac{2x}{3}$
-2x - 5 ($\frac{2x}{3}$) = 0
-2x -$\frac{10x}{3}$ = 0
-6x - 10 x = 0
-16x = 0
x = 0

y = $\frac{2. 0}{3}$
y = 0

c) p = -1 + 5q

2 (-1 + 5q) + q = 4
-2 + 10q + q = 4
11q = 6
q = 6/11

p = -1 + 5(6/11)
p = -1 + 30/11
p = -11 + 30/11
p = 19/11