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express each linear equation in the form of ax+by-c

1.y=4x-7
2.y=-x-1
3.y=1/2x+8
4.y=-8x+3
5.y=2x+8


Sagot :

Answer:

1.   [tex]y=4x-7[/tex]

[tex]y=4x-7\\-4x+y=7\\\frac{-4x}{-1}+\frac{y}{-1}=\frac{7}{-1}\\\LARGE\text{\boxed{\boldsymbol{4x-y=-7}}}[/tex]

2.   [tex]y=-x-1[/tex]

[tex]y=-x-1\\\LARGE\text{\boxed{\boldsymbol{x+y=-1}}}[/tex]

3.   [tex]y=\frac{1}{2}x+8[/tex]

[tex]y=\frac{1}{2}x+8\\y(2)=\frac{x}{2}(2)+8(2)\\2y=x+16\\-x+2y=16\\\frac{-x}{-1}+\frac{2y}{-1}=\frac{16}{-1}\\\LARGE\text{\boxed{\boldsymbol{x-2y=-16}}}[/tex]

4.   [tex]y=-8x+3[/tex]

[tex]y=-8x+3\\\LARGE\text{\boxed{\boldsymbol{8x+y=3}}}[/tex]

5.   [tex]y=2x+8[/tex]

[tex]y=2x+8\\-2x+y=8\\\frac{-2x}{-1}+\frac{y}{-1}=\frac{8}{-1}\\\LARGE\text{\boxed{\boldsymbol{2x-y=-8}}}[/tex]

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