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Solve the simultaneous equations y – 3x + 2 = 0, y^(2) – x – 6x^(2) = 0

Start on the easiest equation and solve to find yy-3x+2=0 <=> y=3x-2Then susbtitute in equation the expression of y in the second equation and simplify(3x-2)²-x-6x²=0 <=>...

Answered by Maria P. • Maths tutor

1812 Views

Probability: These 6 coins are in a box - 10p, 10p, 10p, 20p, 20p, 50p. Someone takes 2 coins at random. What is the probability that the total value of the two coins is at least 40p?

The question has a number of important points which should be highlighted before beginning. Firstly the fact that the picks are at random. Secondly that the value of the coins must be at least 40p, so a t...

Answered by Tom P. • Maths tutor

6582 Views

How would I go about finding the coordinates minimum point on the curve eg y = e^(x) - 9x -5?

In order to find the coordinates of the minimum point of any curve y = f(x), you must differentiate the equation of the curve with respect to x and then equate it to zero.In this case, the differential of...

Answered by Theo R. • Maths tutor

3004 Views

Expand and simplify (x − 4)(2x + 3y)^2

Expand the (2x + 3y)^2 term to give 4x²+ 9y² +12xy Expand (x - 4)(4x²+ 9y²+12xy) to give (4x³+9xy²+ 12x²y - 16x²

Answered by Mohammed R. • Maths tutor

4288 Views

Solve the simultaneous equations: 4X+6Y=4 and 7X+5Y=12.5

There are two ways of solving this problem:
Method 1: substitution.
Make X (or Y) the subject of one equation: X= (4-6Y)/4
Substitute this into the other equation:...

Answered by Sam F. • Maths tutor

2806 Views