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Maths
GCSE

Solve the following quadratic simultaneous equation: y = x + 4 and y = x^2 + 4x

Y = x + 4y = x2 + 4x(as both are equal to y, they can be equated)So: x2 + 4x = x + 4(Rearrange to make the equation equal 0 - subtract x and 4)x2 + 3x - 4 = 0(factorise)(x...

Answered by Julius C. Maths tutor
5294 Views

How do you add or subtract two fractions?

To add or subtract fractions, first you need to find a common denominator between the fractions. So, if you are trying to add 1/2 and 3/5, you can find the common denominator between 2 and 5 by multiplyi...

Answered by Emma B. Maths tutor
1995 Views

Simplify the following: 2(3-2x) - 3(x+1)

Step 1: Expand the brackets 6 - 4x - 3x - 3 Step 2: Collect terms 3 - 7x Cannot Simplify further, answer is 3- 7x

Answered by Hannah C. Maths tutor
2110 Views

Annie and Louis are going to the cinema with their friends. Annie buys two adult tickets and a popcorn for £18.Louis buys 4 adult tickets and 3 popcorn buckets for £45. How much is a ticket and a popcorn bucket?

Ticket = T, popcorn bucket = PAnnie - 2T+P=18 (1)Louis - 4T + 3P = 45 (2)

scaling up:
(1) x 3:
6T + 3P= 54 (3)
solving:(3)-(2)2T = 9T = 4.5substitute back in2T + p = 18(2 x4.5) +...

Answered by Rhiannon F. Maths tutor
1946 Views

each month Rohan spends all his income on rent, travel and other living expenses. 1/3 of his income is used for rent, 1/5 on travel and £420 on other living expenses ... work out his income each month

1/3 + 1/5 = 8/15 (amount spent on rent and travel) 1 - 8/15 = 7/15 (amount spent on living expenses) 420 ÷ 7/15 = 899.999... = £900...

Answered by Rohan K. Maths tutor
3829 Views

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