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How to solve the simultaneous equations of 3x + 2y = 9 and x-y = 3

First off we can refer to the equations as equation 1 and equation 2. In order to solve the equations we must find a way to combine them that elimates one of the variables ( X or y) so that the other can ...

AR
Answered by Alice R. Maths tutor
11935 Views

Find the roots of the equation y=x^2-8x+5 by completing the square.

Firstly, we need to look at completing the square. This is done by looking at the x^2-8x section of the equation. We need to find a way of converting it to the format of (x-a)^2. If you remember, when ...

AG
Answered by Aaron G. Maths tutor
4599 Views

Solve the equation " 2sec^2(x) = 5tanx " for 0 < x < π

Firstly, we must recognise that the equation contains two different trigonometric functions (sec() and tan()) and therefore we must rewrite one of these functions in terms of the other. Therefore we will ...

JB
Answered by Joel B. Maths tutor
15268 Views

Solve the simultaneous equations; 5x + 2y = 11, 4x – 3y = 18

Here you have 2 equations and you need to find the value of x and of y. First we are going to find the value of x. We do this by eliminating the y factor by multiplying and adding the equations. If we mul...

AC
Answered by Alice C. Maths tutor
19764 Views

Solve for 0<=θ<π, the equation sin3θ-(sqrt3)cosθ=0 (C2)

Rearrange the equation to give sin3θ=(sqrt3)cos3θ, then divide through by cos3θ to give sin3θ/cos3θ=sqrt3. We know from our trig identities that sinx/cosx=tanx, so our equation now becomes tan3θ=sqrt3. Us...

BH
Answered by Becky H. Maths tutor
9148 Views

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