Question

Consider the system of linear equations. x + y = 9.0 0.50 x + 0.20 y = 4.05 Find the values of x and y .

Answer 1

Answer:

x=7.5

y=1.5

Step-by-step explanation:

$x + y = 9.0$

subtract x from both sides

$y=9-x$

$0.50x + 0.20y= 4.05$

$0.50 x +0.20(9-x)= 4.05$

$0.50x+1.8-0.2x= 4.05$

combine like terms

$0.30x+1.8= 4.05$

subtract 1.8 from both sides

$0.30x=2.25$

divide both sides by 0.3

x=7.5

$y=9-x$

$y=9-7.5$

y=1.5