Question

Resolva cada sistema linear
4x+2y=2 2x+6y=16

Answer 1

$\left \{ {{4x+2y = 2} \atop {2x+6y=16}} \right.$

4x+2y=2

4x=2-2y

x=$\frac{2-2y}{4}$

2x+6y=16

2. $\frac{2-2y}{4}$ + 6y = 16

$\frac{4-4y}{4}$ +6y=16

$\frac{4-4y}{4} + \frac{24y}{4} = \frac{64}{4}$

4-4y+24y=64

-4y+24y = 64-4

20y=60

y=$\frac{60}{20}$

y= 3

x=$\frac{2-2y}{4}$

x=$\frac{2-2.3}{4}$

x=$\frac{2-6}{4}$

x=$\frac{-4}{4}$

x= -2

Ou seja :

(-2,3)