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Given X + 3Y = 19 and 2X - Y = 10, find X and Y

This is a simple simultaneous equationFirst we multiply the second equation by 3 to get 6X - 3Y = 30Then we add the first and second equation together to get 6X + X +3Y - 3Y = 30 + 19which we simply to 7X...

GV
Answered by Guillermo V. Maths tutor
3042 Views

The curve C has equation y = 2x^2 - 12x + 16 Find the gradient of the curve at the point P (5, 6).

The most simple way to find the gradient of a quadratic curve at a point is to differentiate. Through differentiation a function for the gradient at each value of x can be found. 'y' must be isolated on o...

MS
Answered by Matthew S. Maths tutor
16615 Views

Make a the subject of the formula p = (3a + 5)/ (4 - a)

We start by multiplying both sides of the equation by (4 -a). We then expand the brackets "p.(4-a)" and end up with "4p - pa". We then gather the "a's" to one side of the equ...

JP
Answered by Juliana P. Maths tutor
3990 Views

Expand and Simplify (2x+3)(3x-3)

First, take the 2x and multiply each term in the second bracket by it to give 2x.3x=6x2 and 2x.-3= -6x. Then multiply each term of the second bracket by +3 to give 3.3x= 9x and 3.-...

CK
Answered by Charlie K. Maths tutor
6113 Views

Find the inverse of the matrix C=(1,2;4,9)

Give the general formula for determinant and inverse of 2x2 matrix. Calculate determinant=19-28=1 using formula inverse=1/determinant*(8,-2;-4,1)

NA
Answered by Nefeli A. Maths tutor
2761 Views

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