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Solve the simultaneous equations: 2 + 5y = 3x, x + y = 6

Solve the simultaneous equations: 1. 2 + 5y = 3x2. x + y = 6step 1 - rearrange equation 2 to make x/y the subjecthow? example: subtract y from both sidesx = 6 - ystep 2 - substitu...

PW
Answered by Phoebe W. Maths tutor
2160 Views

Solve the simultaneous equations: y=x+1, x^2+y^2=13

We already have an expression for y, so we can substitute this in:x2+(x+1)2=x2+(x+1)(x+1) = x2+x2+2x+1=2x2+2x+1 and hence 2x2+2...

LC
Answered by Lauren C. Maths tutor
6980 Views

Using trigonometric identities, show that (cos(x) + sin(x))^2=1+sin(2x)

First being by expanding the brackets of the formula on the left:  (cos(x) + sin(x))2 = (cos(x) + sin(x))*(cos(x) + sin(x)) = cos2(x)+2cos(x)sin(x)+sin2(x).Now we must use...

Answered by Maths tutor
5357 Views

differentiate tanx

tanx = sinx/cosxapply the quotient rule use the identity cos^x + sin^x = 1 to simplify

AM
Answered by ayaz m. Maths tutor
3809 Views

Using a method that is not factorisation, solve the equation (x^2) + 3x -4 = 0. Hence, sketch the curve produced by the equation

One method that could be used to solve the equation is using the quadratic formula given by:x = ( -b ± (b2 - 4ac)0.5) / 2a where ax2 + bx + c = 0Substituting our values in...

JW
Answered by Joseph W. Maths tutor
2742 Views

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