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Solve the simultaneous equations x + y = 1 , x^2 -2xy+y^2=9

So here we want to eliminate one variable so we are only working with either x or y by themself, so to do this we can rearrange the first equation of x+y=1 to x= 1-y. This new equation can therefore be su...

Answered by Belinda S. • Maths tutor

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The line AB has equation 5x + 3y + 3 = 0. The line AB is parallel to the line y = mx + 7. Find the value of m.

Rearrange AB into y = mx + c format: 1) 3y = -3 - 5x 2) y = - 5/3 x - 1

Compare equation with y = mx + c

Conclude m = - 5/3

You can also deduce the y-intercept of AB is -1.

Answered by Emanuel D. • Maths tutor

3692 Views

Solve the simultaneous equations - x+y=2 and 4y^2 - x^2 = 11

The objective of simultaeous equations is to be able to work out two unknowns by using two equations in which they are both involved. The first step is to label the equation x+y=2 as equation 1 and 4y

Answered by Keshlee C. • Maths tutor

15341 Views

Differentiate 7(3x^2+7)^(1/3)

Begin by differentiating the terms in the brackets, which gives just 6x. Bring 6x forward, out of the brackets, together with the index on the brackets - 1/3. This gives 42x/3 or 14x in front of the brack...

Answered by Tomas M. • Maths tutor

4059 Views

Solve the following simultaneous equations y + 4x + 1 = 0, y^2 + 5x^2 + 2x = 0

Here we can either use the substitution method or the elimination method. The elimination method here would be hard to carry out due to there being no term which we can make equal in terms of only one of ...

Answered by Alex W. • Maths tutor

4184 Views