slayyallday15 slayyallday15

13-03-2018
Mathematics

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Suppose 3x + 4y = 52 and 5x + y = 30. What is the value of 8x − 2y?

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13-03-2018

Hi !

We have to resolve an equation system to find x and y

[tex]\begin{cases}3x+4y=52\\5x+y=30\end{cases}\\\\\begin{cases}3x-4y=52\\y=30-5x\end{cases}\\\\\\3x+4\times(30-5x)=52\\3x+120-20x=52\\-17x+120=52\\-17x=52-120\\-17x=-68\\\\x=\dfrac{68}{17}\\\\\boxed{x=4}\\\\\\y=30-5\times4\\y=30-20\\\\\boxed{y=10}}\\\\8x-2y=8\times4-2\times10\\8x-2y=32-20\\\\\boxed{8x-2y=12}[/tex]

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