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Solve the simultaneous equation: 3x+2y=8, 2x+5y=-2?

6x+4y=16, 6x+15y=-6 11y=-22 y=-2 3x=8+4=12 x=4 x=4, y=-2
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Answered by Thomas E. • Maths tutor
15135 Views

Find the equation of the tangent to the curve y = 2 ln(2e - x) at the point on the curve where x = e.

The first step is to find the y coordinate at the point on the curve where x = e. To do this we subsitute x = e into the equation of the curve, so y = 2ln(2e - x) becomes y = 2ln(2e - e). Simplifying this, w...
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Answered by Rhiannon T. • Maths tutor
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Solve x^2 - 6x - 2=0 giving your answer in simplified surd form.

SInce the question requires simplified surd form, it makes sense to use the quadratic formula immediately for this question. This would give us x = 6 [+-] squareroot(36-(4x1x-2)) / 2 which simplifies to x= 6...
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Answered by Molly B. • Maths tutor
14083 Views

Use logarithms to solve 9^x=15

According to the rules of logarithms, when you take a log of something to the power of something, you multiply the log of the base by the power, so in this case, taking logs of both sides would give us xlog9...
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Answered by Molly B. • Maths tutor
7874 Views

Solve 7(k-3)=3k-5

First we need to multiply out the bracket 7k-21=3k-5 Then we must make sure our variable is only on one side so we need to deduct 3k from both sides 4k-21=-5 Now we should isolate our variable so add 21 to b...
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Answered by Molly B. • Maths tutor
15858 Views