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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! :)