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

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

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What is the derrivative (dy/dx) of the equation 2 = cos 4x - cos 2y in terms of x and y?

A common C4 question where the student would need to use implicit differentiation to obtain an equation with the derrivative in it. 0 = -4sin4x + 2(dy/dx)sin2y. Then all that is required is rearranging th...

Answered by Arsh Y. • Maths tutor

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How do you know when to use sin, cos and tan in trigonometry?

Best way to remember it is: soh, cah and toa.Where soh means that the sine of the angle is equal to the length of the opposite side divided by the length of the hypotenuse.C...

Answered by • Maths tutor

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How do tree diagrams work? Consider: A bag contains 5 red counters and 3 blue counters. James draws a counter from the bag at random and keeps it. James then draws a second counter at random. What is the probability that James takes two red counters?

Tree diagrams can be used to work out probabilities when you have a combination of events happening. The end of the branch displays the outcome of an event and the probability of this event occurring is w...

Answered by Ikhlas M. • Maths tutor

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Anna has 4 cakes. Three of them are squares with sides of length x, and one is rectangular and measures 2 by (3x+2). The total area of all the cakes is 13. What is the length of x?

This I'd set as a higher tier GCSE problem.To begin with I'd draw the shapes so that it's clear what we're working with. Then I'd ask my tutee to work out the areas of the individual shapes--these will be...

Answered by Callan P. • Maths tutor

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