Question

Resolva os sistema pelo método adição
a) 3x+5y=14
2x-y=16

B)x+y=2
4x-2y=5

Answer 1

Explicação passo-a-passo:

a)

3x+5y=14

2x-y=16 .(5)

_________

3x+5y=14

10x-5y=80

_________

3x+10x=14+80

13x=94

x=94/13

5y=14-3x

5y=14-3.(94/13)

5y=14-282/13

5y=(182-282)/13

5y=-100/13

65y=-100

y=-100/65=(-100÷5)/(65÷5)=-20/13

S={( 94/13 , -20/13)}

B)

x+y=2 .(2)

4x-2y=5

________

2x+2y=4

4x-2y=5

________

2x+4x=4+5

6x=9

x=9/6=(9÷3)/(6÷3)=3/2

y=2-x= 2-3/2=(4-3)/2=1/2

S={( 3/2 , 1/2 )}