Answered

IDNLearn.com: Your trusted source for finding accurate answers. Ask anything and receive thorough, reliable answers from our community of experienced professionals.

5x+7y=77
5x+3y=53



2x+5y=-1
X+2y=0


3x+6y=6
2x-3y=4

Sagot :

1.)
[tex]5x+7y=77\\ 5x+3y=53\\ (5x+7y)-(5x+3y)=77-53\\ 5x-5x+7y-3y=24\\ 4y=24\\ y=6\\ 5x+7\cdot 6=77\\ 5x+42=77\\ 5x=77-42\\ 5x=35\\ x=\frac { 35 }{ 5 } \\ x=7[/tex]

2.)
[tex]2x+5y=-1\\ x+2y=0\\ \\ 2\cdot (x+2y)=2\cdot 0\\ 2x+4y=0\\ (2x+5y)-(2x+4y)=-1-0\\ 2x-2x+5y-4y=-1\\ y=-1\\ 2x+5\cdot -1=-1\\ 2x-5=-1\\ 2x=-1+5\\ 2x=4\\ x=\frac { 4 }{ 2 } \\ x=2[/tex]

3.)[tex]3x+6y=6\\ 2x-3y=4\\ 2\cdot (2x-3y)=2\cdot 4\\ 4x-6y=8\\ \\ (3x+6y)+(4x-6y)=6+8\\ 4x+3x+6y-6y=14\\ 7x=14\\ x=\frac { 14 }{ 7 } \\ x=2\\ \\ 3\cdot 2+6y=6\\ 6+6y=6\\ 6y=0\\ y=0\\ [/tex]
Your participation means a lot to us. Keep sharing information and solutions. This community grows thanks to the amazing contributions from members like you. IDNLearn.com is committed to providing accurate answers. Thanks for stopping by, and see you next time for more solutions.