jeffensamson0 jeffensamson0
  • 07-01-2022
  • Mathematics
contestada

Solve the system by substitution. Check your solution.
0.5 x + 0.25 y = 36. y + 18 = 16 x.
a.
(36, 72)
c.
(49, 81)
b.
(9, 126)
d.
(21, 9)

Respuesta :

940172
940172 940172
  • 07-01-2022

Answer:

(9,126)

Step-by-step explanation:

Make sure x and y are on the same side

[tex]0.5x+0.25y=36\\16x-1y=18[/tex]

Eliminate y by multiplying the first equation by 4 then adding both equations together

[tex]2x+1y=144\\16x-1y=18\\18x=162\\x=9[/tex]

Plug the x value (9) into one of the equations

[tex]16(9)-1y=18[/tex]

Solve

[tex]16(9)-1y=18\\144-1y=18\\144=18+1y\\126=y[/tex]

x=9, y=126

(9,126)

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