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5x -3y = 23

7x - 4y = 33

This is simultanreous equations. Arbitrarily decide which letter to eliminate. In this case 'y'

To do this multiply the top eq'n by '-4' and the bottom by '3'

Hence

-20x + 12y = -92

21x - 12y = 99

Add the two eq'ns. This will eliminate 'y'

x = 7

Substitute into either eq'n for 'y'

49 - 4y = 33

-4y = - 16

y = 4

Hence (x,y) = ( 7,4)

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lenpollock

Lvl 16
2y ago

What else can I help you with?