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Maths
GCSE

Solve the simultaneous equations 5x + y = 21, x - 3y = 9

Method 1 - By Elimination: Firstly, understand that in order to eliminate a variable, the coefficient needs to be the same for the variable in both equations. We can eliminate the x var...

Answered by Rahil V. Maths tutor
2452 Views

Simplify (2sin45 - tan45)/(4tan60) and leave your answer in the form of (sqrt(a)-sqrt(b))/c

To answer this question we need to remember the exact trig values.A trick I use for remembering these is the hand rule.For this you label any one of your hands with the set angles starti...

Answered by Isabella K. Maths tutor
3737 Views

Solve these simultaneous equations algebraically: y=2x^2 - 7x + 4 & y=4x-1

As we have two equations of x for y we can make these equal to each other. This gives the following:2x2 - 7x + 4 = 4x - 1As with any quadratic we want to make it equal to 0. This gives the foll...

Answered by Nathaniel R. Maths tutor
3906 Views

What is the solution to x^2 + 5x - 7 = 0

X can be found by using the quadratic equation. x = -b plus or minus (b2-4ac)1/2/2a. We find that x=-5/2 plus or minus (53)1/2/2.

Answered by Sacha A. Maths tutor
3045 Views

A linear equation has terms: a+2b, a + 6b, a + 10b, ......., ........ the second term equals 8 and the fifth term equals 44. Work out the value of a & b

We are given the second term both as a number and an equation, so we can saya + 6b = 8We can then estimate the fifth term by continuing the pattern of adding 4b to each term in the sequence, which gives:T...

Answered by Jamie M. Maths tutor
2046 Views

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