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Solve the simultaneous equations algebraically

x²+y²=25 and y-3x=13Step 1 is to label the equations (1) and (2). We shall label the first equation, the quadratic, as equation (1) and the second equation, the linear, as equation (...

Answered by Andrew E. • Maths tutor

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Solve the two simultaneous equations X2 +2Y2= 18 and X - Y = 3

1) X² +2Y²= 182) X - Y = 3
Rearrange 2) in the form X=3-Y then substitute in to 1); (3-y)²+2Y²=18, this is your new equation 39+3Y+3Y+Y²+2Y^...

Answered by Rebecca C. • Maths tutor

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at a shop in the US tax is added onto the price of an item at the till. this shop adds 5.7% of the items value to the total cost. if you buy a ball priced as $15, how much will you have to pay ?

0.057 x 15 = 0.855 total = 15 + 0.988 = 15.855

Answered by Merlin B. • Maths tutor

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With a bag of 5 blue marbles, 7 green marbles, and 3 red marbles. What is the probability of picking out two blue marbles? Pick them one at a time and do not replace them.

So there are 15 marbles in total (5 + 7 + 3) The probability of the first marble will be the number of blue marbles / total number of marblesTherefore, you do 5/15 = 1/3 Then for the second marble you do ...

Answered by Christopher B. • Maths tutor

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How do I solve the simultaneous equations 2x - y = 3 and 3x + y = 9

First of all you need to spot a way we can add or subtract these two equations together so that we can get rid of one of the terms. This is easily spotted by writing the equations like so:2x - y ...

Answered by Joshua B. • Maths tutor

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