Top answers

Solve this simultaneous equation: 6x+2y = 26 and 8x + 3y = 32

If 6x + 2y = 26 then 26 - 6x = 2yy = 13 - 3xSo, using the substitution method.... into 8x + 3y = 328x + 3(13 - 3x) = 328x + 39 - 9x = 32-x + 39 = 3232 + x = 39x = 39 - 32 = 7Sub x = 7 into 6x + 2y = 266(7) +...
SW
Answered by Samuel W. • Maths tutor
4173 Views

Find (dy/dx) of x^3 - x + y^3 = 6 + 2y^2 in terms of x and y

In order to differentiate this expression, we need to use implicit differentiation. An expression in the form y = f(x), where f(x) means "a function of x", is called an explicit equation and needs ...
Answered by • Maths tutor
3995 Views

If x^2-5x+6=0, solve for x.

Since x^2-5x+6=0 is a quadratic we need to factorize before solvingAll quadratics fall under this formula ax^2+bx+c=0 so in this case a=1, b=-5 and c=6Drawing the very common ac b table we get: ac|b 6 |-5So ...
ME
Answered by Matthew E. • Maths tutor
3742 Views

The straight line joining the points (1, -2a),(a, 1) has a gradient of 5, find the value of a

m=y-y 1 /x-x 1 5=1-(-2a)/a-15=1+2a/a-15(a-1)=1+2a5a-5=1+2a3a=6a=2
TB
Answered by Theo B. • Maths tutor
4144 Views

Differentiate y=x^2 from first principles

y=x 2 dy/dx= Lim h-->0 ( ((x+h) 2 -x 2 ) / (x+h-x) )dy/dx= Lim h-->0 ( (x 2 + 2hx + h 2 - x 2 ) / h )dy/dx= Lim h-->0 ( (h 2 + 2hx) / h )dy/dx= Lim h-->0 ( h + 2x )dy/dx= Lim h-->0 ( h ) + 2xd...
DC
Answered by Dipayan C. • Maths tutor
6186 Views