0.01x - 0.3y = 1

y = 0.1x - 2

Which of the following systems is equivalent to the given system?

A) x - 30y = 100 and 10y = x - 20

B) x - 3y = 10 and 10y = x - 20

C) 10x - 30y = 10 and 10y = x - 20

Step-by-step explanation:

0.01x-0.3y=1; y=0.1x-2

Rewrite equations:

y=0.1x-2; 0.01x-0.3y=1

Step: Solvey=0.1x-2for y:

y=0.1x-2

Step: Substitute0.1x-2foryin0.01x-0.3y=1:

0.01x-0.3y=1

0.01x-0.3 (0.1x-2) = 1

-0.02x+0.6=1 (Simplify both sides of the equation)

-0.02x+0.6+-0.6=1+-0.6 (Add - 0.6 to both sides)

-0.02x=0.4

-0.02x

-0.02

=

0.4

-0.02

(Divide both sides by - 0.02)

x=-20

Step: Substitute-20forxiny=0.1x-2:

y=0.1x-2

y = (0.1) (-20) - 2

y=-4 (Simplify both sides of the equation)

Answer:

x=-20 and y=-4

x-30y=100 and 10y=x-20