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3x – 7 y = -27
16x - 5y = 0
(using the linear equation system and solving for x,y)

Sagot :

nataliechou123

Answer:

x=5 and y=6

Step-by-step explanation:

Step: Solve 3x−7y=−27 for x:

3x−7y=−27

3x−7y+7y=−27+7y

3x=7y−27

[tex]\frac{3x}{3} =\frac{7y-27}{3}[/tex]

[tex]x=\frac{7}{3} y-9[/tex]

Step: Substitute   [tex]\frac{7}{3}y-9[/tex] for x in 6x−5y=0:

6x−5y=0

[tex]6(\frac{7}{3}-9)-5y=0[/tex]

9y−54=0

9y−54+54=0+54

9y=54

[tex]\frac{9y}{9} =\frac{54}{9}[/tex]

Therefore y=6.

Step: Substitute 6 for y in x= [tex]\frac{7}{3} y-9[/tex]:

[tex]x=\frac{7}{3} y-9[/tex]

[tex]x=\frac{7}{3}(6)-9[/tex]

Therefore x= 5.

x= 5 and y= 6

Hope this helped! :)

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