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Solve the simultaneous equations 5x+y=21 and x-2y=9

To answer this, you need to try and remove on of the letters from the equation. You could multiply the first equation by 2 so that the number in front of the y's are the same in both equations, with 10x+2y=2...
JW
Answered by Jess W. • Maths tutor
3839 Views

S is a geometric sequence. a) Given that (√x - 1), 1, and (√x + 1) are the first three terms of S, find the value of x. b) Show that the 5th term of S is 7 + 5√2

a) We can get the result by calculating the common ratio between elements 1 and 2, and 2 and 3. R n = 1/√x-1 /Ratio between 1st and 2nd R n = √x + 1 /Ratio between 2nd and 3rd 1/√x-1 = √x + 1 /*(x + 1) 1 = (...
MD
Answered by Marek D. • Maths tutor
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5(7x + 8) + 3(2x + b) ≡ ax + 13 Find the values of a and b

35x + 6x + 3b ≡ ax + 13 41x + 3b ≡ ax + 13 when x=0 3b + 40 = 13 3b= -27 b=-9 so 41x - 27 + 40 ≡ ax + 13 when x = 1 41-27 + 40 = a + 13a = 41
TM
Answered by Taylor M. • Maths tutor
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Solve the simultaneous equations. 5x+y=21, x-3y=9.

We commonly solve this via the method of substitution. We label each equation i and ii. We then solve the first equation i for a single variable. We then substitute this value into the secod equation, and so...
SW
Answered by Sam W. • Maths tutor
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Line A passes through point Q(2,3). Line B is parallel to line A and has the equation 2y-3x=4. What is the equation of line A?

If two lines are parallel they have the same gradient so we must find the gradient of line B and use it to find line ALine B ==> 2y - 3x + 4 = 0This can be rearranged in to the form "y = mx + c"...
SV
Answered by sameer v. • Maths tutor
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