Answer:
[tex]x=5\\\\y=2[/tex]
Step-by-step explanation:
Given Equations:
[tex]-6y= -20 + 2x[/tex] Equation:1
Solving Equation:1 Adding '[tex]6y[/tex]' to both the sides:
[tex]2x+6y-20=0[/tex]
Adding '20' both the sides:
[tex]2x+6y=20[/tex] Equation:2
[tex]2x - 4y=0\\[/tex] Equation:3
Subtracting Equation:3 From Equation:2
[tex]2x+6y-(2x-4y)=20-0\\\\2x+6y-2x+4y=20\\\\10y=20\\\\y=\frac{20}{10}\\\\ y=2[/tex]
Putting the value of 'y' in equation:3
[tex]2x - 4y=0\\[/tex]
[tex]2x-4(2)=0\\\\2x-8=0[/tex]
Adding '8' to both the sides
[tex]2x=8\\\\x=8/2\\\\x=5[/tex]
SO,
[tex]x=5\\\\y=2[/tex]
