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  • 19-06-2020
  • Mathematics
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Given the equation below what is the value of y-x?
3x+4=-5y+8
9x+11y=-8

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rainestormee
rainestormee rainestormee
  • 19-06-2020

Answer:

[tex]-5[/tex]

Step-by-step explanation:

[tex]3x+4=-5y+8\\9x+11y=-8[/tex]

Rearrange the first equation and substitute it into the second equation.

[tex]3x=-5y+8-4\\3x=-5y-4[/tex]

(as we want 9x instead of 3x we are going to multiply this equation by 3)

[tex]9x=-15y-12\\-15y-12+11y=-8\\-4y=4\\y=-1[/tex]

Rearrange the first equation and substitute in our y value to solve for x.

[tex]3x+4=-5(-1)+8\\3x=5+8-4\\3x=9\\x=3[/tex]

Hence

[tex]y-x=-1-4=-5[/tex]

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