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Solve the simultaneous equations 5x-4y=19 x+2y=8

Posted 3 months ago

Answers (2)

Fiona Harris 3 months ago

So to solve for x and y you need to add the two equations together, and to do this when you add them either the x or the y need to cross out. For this equation we’re going to multiply the bottom equation by 2 so that the y’s will cancel out when we ad the equations together so that we can solve for x 5x-4y=19 2(x+2y=8) Distribute the 2 5x-4y=19 2x+4y=16 Next add the two equations together 7x=35 As you can see the y was cancelled out. Now divide each side by 7 to solve for x x=5 Now take this answer and plug it back into either equation to solve for y. I am going to plug it into the second equation, but you can choose either x+2y=8 Replace x with its value, 5 5+2y=8 Subtract 5 from each side 2y=3 Divide each side by 2 y=3/2 (or 1.5) ANSWER: x = 5 y = 3/2 (or 1.5)

Charlie Davis 3 months ago

the answer are x= 5 and y = 3/2

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