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X^2 - 4y = -8 y=3

X^2 - (4*3) + 8 = 0 X^2 -4 = 0 X^2 = 4 X = 2
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Answered by Tom H. Maths tutor
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James has a short drive to his garage which he wishes to pave with a single layer of bricks. If his square drive has side length 2m and James buys the bricks in stacks of 10 with each brick being 0.2m long and half as wide how many stacks must James buy?

There's a lot of information to take on in this question so it's firstly important to isolate the facts: -The drive needs to be paved with a single layer of bricks -The drive is a square with length of 2m -E...
TD
Answered by Tutor195051 D. Maths tutor
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Solve the following simultaneous equations: x+y=9; x-2y+1=1.

Step 1: x+y=7 can be rearranged as: x= 9 - y.Step 2: We substitute the expression of x in the second equation: 9 - y - 2y + 1 = 1Step 3: We calculate the value of y. 9 + 1 - 1- 3y=0. It is equivalent with: 9...
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Answered by Daniel T. Maths tutor
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120 men and 80 women were asked if they drive to work. Altogether 1/4 of people said yes. And a 1/3 the of men said yes. What fraction of women said yes?

Step 1- Workout how many people overall said yes. We Know overall there are 200 people and of these 200 people 1/4 said yes. Therefore, we need to workout 1/4 of 200. Simply divide 200 by 4. 200/4=50. So we ...
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Answered by Harry R. Maths tutor
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Solve algebraically the simultaneous equations, giving your answers in terms of b : 3x+by=5, x-y=-2

First, I would label the two equations 1 and 2:(1) 3x+by=5(2)x-y=-2Next, multiply (2) by 3 and subtract this equation from (1) in order to cancel out the x terms: 3x+by=5-(3x-3y=-6)This results in the equati...
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Answered by Thomas L. Maths tutor
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