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Mathematics 21 Online
OpenStudy (anonymous):

Someone please help me

OpenStudy (anonymous):

OpenStudy (anonymous):

This is called a linear simultaneous equation. The idea here is to add the two equations together to get rid of one of the variables. So if you add them together you end up with (x+x)+(3y-3y)=(8-8) which gives you 2x=0. That means that x has to be zero and can't be anything else. Then you can work out y by putting x =0 into either equation and getting y = 8/3. This is the only solution that the equations can take. So I would assume the answer is one solution.

OpenStudy (anonymous):

Can you help me on this test please @alrightatmaths

OpenStudy (anonymous):

@alrightatmaths

OpenStudy (anonymous):

The best way to answer this is to imagine that the equations are on a graph. You can draw linear equations quite easily on a graph because they'll just be a straight line, like y=2x+2. If you have two linear equations and you want to find their solution, then you can find it by seeing where the two lines cross on a graph. However, if the y intercept and the slope is the same, that means that the two lines are in fact the same line, so they don't cross just in one place but in infinitely many places, meaning that there is an infinite number of solutions.

OpenStudy (anonymous):

@alrightatmaths

OpenStudy (anonymous):

Best thing to do here is probably just put the values of x and y into each set of equations and see if they work. So putting x=3 and y=0 doesn't work for the first pair as we know x+y does not equal 7. Then just repeat for the others and see if they work.

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