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Solve 5x-6=3x+7

The key point to remember when dealing with an algebra equation is that whatever operation you carry out on one side of the equation, you MUST do to the other side as well. To solve this equation, we first w...
KB
Answered by Kyle B. • Maths tutor
15267 Views

Differentiate the equation y = x^2 + 3x + 1 with respect to x.

A simple way to differentiate an equation with respect to x is to reduce each x components power by one and multiply each x component by their original power. Looking at the equation y = x^2 + 3x + 1, the co...
JB
Answered by Jake B. • Maths tutor
5770 Views

Solve equations 2x+y=9 and x+2y=6 to find x and y.

First of all we need to rearrange the equations in a way which allows us to get rid of either the x or y variable. To do this we need to have either the same number of x's or same number of y's in both equat...
JB
Answered by Jake B. • Maths tutor
15174 Views

If y = (1+3x)^2, what is dy/dx?

A good approach to solve this is to use the chain rule of differentiation. The chain rule states: dy/dx= (dy/du)*(du/dx). In this case let u = 1+3x, so y = u^2. Then dy/du = 2u and du/dx = 3, so dy/dx = (2u)...
NB
Answered by Nishit B. • Maths tutor
10420 Views

If I have £730 in my bank account which has 2.5% compound interest per year, how much more money will be in there after two years?

AFTER 1 YEAR : interest = £730 x 0.025 = £18.25 Rotal money in my account = £730 + £18.25 = £748.25. AFTER 2 YEARS: interest = £748.25 x 0.025 = £18.706 Total money in my account = £766.96 (remember to round...
SH
Answered by Sally H. • Maths tutor
4607 Views