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Solve the simultaneous equations: 3x + y = 15 and 4y + 3 = 9x

The best way to solve simultaneous equations is by substitution. The first step is to pick a variable to eliminate. In this case, I'm going to choose to eliminate y because the first equation has a y on it's...
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Answered by Samuel B. • Maths tutor
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Given a + b = 20, find the maximum value of ba^2.

In the question we are given that a + b = 20 where a and b are positive integers. Remember this.First let y = a^2 b. This is a good starting point as we have an equality now which we can mess with.We want to...
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Answered by Samuel B. • MAT tutor
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Given a differential equation (*), show that the solution curve is either a straight line or a parabola and find the equations of these curves.

This question is takes from the 2008 STEP I paper (Question 8). We are first given (dy/dx)^2 + x dy/dx + y = 0 where y is a function of x. Differentiating both sides of the equation with respect to x, gives:...
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Answered by Samuel B. • STEP tutor
2109 Views

I don't understand, what do you use sin, cos and tan for?

Sin, cos and tan are functions that help you work out either, the missing angle or one of the missing lengths of a side in a right angle triangle.To work out the missing angle you need two side lengths, depe...
JD
Answered by Joe D. • Maths tutor
3848 Views

Rearrange the formula to make a the subject: b = (2a + 5)/3

b = (2a + 5)/3 Step 1 - Multiply both sides by 33b = 2a + 5Step 2 - subtract 53b - 5 = 2aStep 3 - divide by 2(3b - 5)/2 = a
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Answered by Annie B. • Maths tutor
5100 Views