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Maths
GCSE

How to solve a simultaneous equation?

2x+3y=7 ----(1)x-y=1 -----(2)First, look at how you can eliminate one of the unknowns. Here we can multiply the second equation by 3 to make eliminate the "3y" in the first equation. We will the...

Answered by Ho Sum W. Maths tutor
2302 Views

x : y = 7 : 4, x + y =88. Work out the value of x - y.

Here we use the ratios given to calculate the answer. First we sum add 7 and 4 to find total parts. 7 + 4 = 11. Then we divide 88 by 11. 88/11 = 8.This means we know that each part in the given ratio is 8...

Answered by Alice C. Maths tutor
4078 Views

The straight line L1 passes through the points with coordinates (4, 6) and (12, 2) The straight line L2 passes through the origin and has gradient -3. The lines L1 and L2 intersect at point P. Find the coordinates of P.

Find equation of line 1 in terms of x. eg y=mx+c - Using gradient and points. Equation of line 2 is just y=-3xSo -3x=mx+c of line 1Find xSub into one equation to find the y point.Done

Answered by Rishi J. Maths tutor
9192 Views

A ball, dropped vertically, falls d metres in t seconds. d is directly proportional to the square of t. The ball drops 45 metres in the first 3 seconds. How many metres does the ball drop in the next 7 seconds?

d = kt2. 45 = k x 32. 45 = k x 9 (/9). 5 = k.3+7 = 10 seconds total as we are investigating the NEXT 7 seconds. d = kt2. d = 5 x 102. d = 5 x 100d = 500m in 10 ...

Answered by Emily N. Maths tutor
3721 Views

expand and simplify (x+1)(x-1)

first begin by expanding the brackets using the CLAW method (shown using whiteboard diagram)multiply the first of each bracket together, we get x2multiply the first term of the first bracket an...

Answered by Adam T. Maths tutor
6512 Views

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