Question

resolva o sistemas a) 2x-x=16 x+y=10 b) 5x+2y=25 y=8 c) 2x-y=12 x+y=8 d) x+y +10 x-y=6 me ajuda pfvr​

Answer 1

a)

x = 16

x + y = 10 => 16 + y = 10 => y = 10 - 16 => y = -6

b)

$5x + 2y = 25 \\ \\ y = 8 \\ \\ 5x + 2 \times 8 = 25 \\ 5x + 16 = 25 \\ 5x = 25 - 16 \\ 5x = 9 \\ x = \frac{9}{5}$

c)

$2x - y = 12 \\ x + y = 8 \\ \\ 3x = 20 \\ x = \frac{20}{3} \\ \\ x + y = 8 \\ \frac{20}{3} + y = 8 \\ 20 + 3y = 24 \\ 3y = 24 - 20 \\ 3y = 4 \\ y = \frac{4}{3}$

d)

$x + y = 10 \\ x - y = 6 \\ \\ 2x = 16 \\ x = \frac{16}{2} \\ x = 8 \\ \\ x + y = 10 \\ 8 + y = 10 \\ y = 10 - 8 \\ y = 2$