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Solve the simultaneous equations equation 1: 2x+3y=4 and equation 2: 5x+6y=7

This question can be solved by many methods but the elimination method is the fastest one in this case. The unknown that will be eliminated is y. Equation 1 is multiplied by 2 to give 4x+6y=8. Since I have c...
MP
Answered by Marilena P. • Maths tutor
5370 Views

Rearrange the following equation to make 'm' the subject: 4 (m - 2) = t (5m + 3) [4 marks]

Expand brackets on both sides: 4m − 8 = 5mt + 3t Collect all terms containing 'm' to one side of the equation: 4m − 5mt = 8 + 3t Factorise the terms containing 'm': m (4 − 5t) = 8 + 3t Divide by factorised v...
NM
Answered by Nadia M. • Maths tutor
4512 Views

A ladder 6·8m long is leaning against a wall. The foot of the ladder is 1·5m from the wall. Calculate the distance the ladder reaches up the wall.

We have a right angle triangle in this problem. We can use Pythagoras' theorem - the square of the hypotenuse is equal to the sum of the squares of the other two sides of the right angle triangle . We will d...
MV
Answered by Mohan V. • Maths tutor
3980 Views

[equ1] 3y − 6x = 3 [equ2] y y x 2 − x + 2 2 = 2

Firstly start by rearranging [equ1] to get y = 2x + 1 . Then substitute this result into [equ2] this will give you (2x + 1) (2x ) x . Simplify the equation and subtract two from both sides to 2 − x + 1 + 2 2...
AS
Answered by Alistair S. • Maths tutor
4754 Views

On a packet of brown rice it says 'When 60g of rice is cooked, it will weigh 145g.' If Katy has 100g of brown rice, how much will it weigh when cooked?'

Find by what ratio the weigh of rice has increased. If the rice increases in weight from 60g to 145g, the factor by which it increases is: (145/60) = 2.4166... Multiply the amount of rice Katy has by this fa...
BO
Answered by Ben O. • Maths tutor
15670 Views