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(a) The equation of a line L is 2x-3y=6. Find the gradient of L. (b) Find the equation of the line which is parallel to L and passes through the point (6,9)

(a) y=mx+c3y=2x-6y=(2x-6)/3(b) y=mx+c9=(2/3)x6+cc=5y=(2/3)x+5

JH
Answered by Josh H. Maths tutor
8703 Views

How do we expand (3y-2)^2?

(3y-2)^2=(3y-2)(3y-2)You're basically multiplying 3y-2 by itself.Let's start with the 3x in the first bracket.3y x 3y + 3y x (-2)=9y^2-6yNow let's move on to the -2 in the first bracket.-2 x 3y + (-2) x (...

SL
Answered by Sum-Ping L. Maths tutor
3577 Views

Solve the simultaneous equations x+y=8 and 3x-y=4.

Notice that y has the same coefficient (ignoring the sign) in both equations. So, we will use the elimination method. The elimination method means that we will combine the two equations to eliminate the y...

FS
Answered by Fiona S. Maths tutor
4920 Views

Make x the subject of the formula: y=(x+5w/2)^0.5

First recognise that (x+5w/2)^0.5 is the same as the square root of (x+5w/2). Then square both sides of the equation to get: y^2=(x+5w/2).Multiply both sides by 2 to eliminate the fraction from the RHS: 2...

CW
Answered by Charles W. Maths tutor
3279 Views

3x + 2y =4 and 4x - 17 = 5y. Solve the simultaneous equations.

  1. write out each equation one underneath the other so that the x’s are in one column and the y’s are in another.2) we also need to make sure that the numbers are also aligned up3) for 4x - 17 = 5y, we...
Answered by Maths tutor
3560 Views

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