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How do you solve the simultaneous equations 3x+y=5 and x-y=3?

The aim of this question is to find x and y by combining these two equations. There are two ways of solving simultaneous equations, elimination and substitution. Elimination can only be used when there ar...

Answered by Andrew N. • Maths tutor

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A gardener uses this formula to work out how much he charges to make a lawn. C = (7(14+A))/3. C is the charge in £, A is the area in m^2. He makes a rectangular lawn measuring 12.5 m by 17.6 m. How much does he charge? [3 marks]

Rectangular Lawn of 12.5 x 17.6m. (Draw Rectangle) Area=LengthHeight A=12.517.6 A=220m^2

Substitute into formula: C=(7(14+A))/3 C=(7(14+220))/3 C=(7(234))/3 C=(1638)/3 C=546

The gar...

Answered by Joshua F. • Maths tutor

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Factorise f(x) = 6x^3 -7x^2 -x +2 = 0

Try to find first root: f(1) = 6 - 7 -1 + 2 = 0, therefore x-1 is a root. Find quadratic by inspection: (x-1)( )= 6x^3 -7x^2 -x +2 (x-1)(6x^2 - x - 2) Factorise quadratic: (x-1)(2x+1)(3x-2) = 0

Answered by Tutor40745 D. • Maths tutor

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Factorise y^2 + 7y + 6

So here we have a quadratic equation because it has the structure a^2 + bx + c. In order to factorise a quadratic we first need to look for two numbers that we can multiply together to get 6 and add toget...

Answered by Victoria H. • Maths tutor

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Point A (-3,5) and point B (1,-15) are to be connected to form a straight line, fing the equation of the line in the form y=mx+c?

First identify your x1, y1 and x2,y2. It is helpful to write this above the two points A and B. To find the gradient the following equation can be used (I will show equation on board),as u can see the X1,...

Answered by Charuka W. • Maths tutor

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