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How do you solve simultaneous equations?

There are two main methods:Substitution and elimination which can be demonstrated on the white board.

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Show that 2sin(x) =(4cos(x)-1)/tan(x) can be written as: 6cos^2(x)-cos(x)-2=0

Rearranging gives:4cos(x)-1 = 2sin(x)tan(x) Substituting in tan(x)=sin(x)/cos(x) gives:4cos(x)-1 = 2sin(x)(sin(x)/cos(x))2sin²(x)=4cos²(x)-4cos(x)Substituting in 2sin^2<...

Answered by Olivia T. • Maths tutor

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The General Form of the equation of a circle is x^2 + y^2 + 2gx +2fy + c = 0. Find the centre of the circle and the radius of the circle in terms of g f and c.

Given a circle in the general form you can complete the square to change it into the standard form.x²+ 2gx + y²+2fy +c = 0 (1). General form of an equation which has the completing...

Answered by Rushabh S. • Maths tutor

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Solve the equation: 4x-2=6x+3

4x-2=6x+3 (-4x)-2=2x+3 (-3)-5=2x (/2)-2.5=x

Answered by Charlotte R. • Maths tutor

4396 Views

Find the lowest common multiple and highest common factor of 30 and 60.

Find 30 and 60 as products of their prime factors using factor trees: 60 = 2 x 2 x 3 x 5, 30 = 2 x 3 x 5. Use a Venn diagram to represent the prime factors of 30 and 60 with the groups 'prime factors of 3...

Answered by Anna M. • Maths tutor

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