# math

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Explain why the simultaneous equations y=1/2x+2 and 2y-x:4 have an infinite number of solutions. What is diffrent about these equations compared with the equations in the first question ( the equations were y=2x+3 and 5y-10x=5)? What is similar? ( include work to prove why and how it has an infinite number of solutions)

• math -

2y -x = 4 not 2y -x:4

By dividing both sides by 2 and rearranging, one can see that it is equivalent to the first equation.

They would plot on a graph as exactly the same line, and there are an infinite number of "point" solutions along that line.

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