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How would you solve (4y + 3)/5 + (3y+1)/2 = 4 for y?

The first step is to remove the fractions in the equation, as the equation is easier to solve when there are only whole numbers.To remove the first fraction we should times the entire equation by 5 ----&g...

Answered by Nima S. • Maths tutor

2710 Views

What is the difference between '<' and '≤'?

'x < 4' simply means that x is less than 4.2) However, x ≤ 4 means that it is less than or equal to 4. So if you have x = 3, 2, 1, 0 then the first term, 'x < 4' appliesbut if...

Answered by Tom H. • Maths tutor

4206 Views

Find the equation of the normal of the curve xy-x^2+xlog(y)=4 at the point (2,1) in the form ax+by+c=0

differentiating: xy'+y-2x+(x/y)y'+log(y)=0rearranging: y'=y(2x-y-log(y))/x(1+y)at (2,1): y'=3/4 so gradient of normal at (2,1) is -4/3so the equation of the normal is y-1=(-4/3)(x-2)which is equivalent to...

Answered by Sam L. • Maths tutor

3282 Views

Solve the simultaneous equations y = x^2 +3x and y = x+8

Because both of the equations are equal to y, the first thing we do is make them equal to each other:x^2 + 3x= x + 8We then want to rearrange the equation so that everything is on the same side of the equ...

Answered by Jessica W. • Maths tutor

4180 Views