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Solve the system of equations: {y=5/4x-2
y=-1/4x+19

PLEASE HELP

Sagot :

devishri1977

Answer:

x = 14

y = 31/2

Step-by-step explanation:

[tex]y = \dfrac{5}{4}x-2 ---------------(i)\\\\\\y =\dfrac{-1}{4}x + 19 --------------(ii)\\\\\\Substitute \ y =\dfrac{5}{4}x -2 \ in \ equation \ (2) \\\\\\\dfrac{5}{4}x-2=\dfrac{-1}{4}x+19\\\\\\\dfrac{5}{4}x-2+\dfrac{1}{4}x=19\\\\\\\dfrac{6}{4}x-2=19\\\\\\\dfrac{6}{4}x=19+2\\\\\\\dfrac{6}{4}x=21\\\\\\x=21*\dfrac{4}{6}\\\\\\x=\dfrac{7*4}{2}\\\\\\x=7*2=14\\\\\\substitute \ x= 14\ in \ equation (1)\\\\\\y=\dfrac{5}{4}*14 }-2\\\\y=\dfrac{35}{2}-2\\\\\\[/tex]

[tex]y=\dfrac{35}{2}-\dfrac{2*2}{1*2}\\\\\\y=\dfrac{35}{2}-\dfrac{4}{2}\\\\y=\dfrac{31}{2}[/tex]

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