mistystar3488 mistystar3488
  • 16-01-2020
  • Mathematics
contestada

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 .

Respuesta :

lisboa lisboa
  • 17-01-2020

Answer:

x=7.5

y=1.5

Step-by-step explanation:

[tex]x + y = 9.0[/tex]

subtract x from both sides

[tex]y=9-x[/tex]

[tex]0.50x + 0.20y= 4.05[/tex]

[tex]0.50 x +0.20(9-x)= 4.05[/tex]

[tex]0.50x+1.8-0.2x= 4.05[/tex]

combine like terms

[tex]0.30x+1.8= 4.05[/tex]

subtract 1.8 from both sides

[tex]0.30x=2.25[/tex]

divide both sides by 0.3

x=7.5

[tex]y=9-x[/tex]

[tex]y=9-7.5[/tex]

y=1.5

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