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Solve the simultaneous equations: 3x − y = 23 2x + 3y = 8

Write the 2 equations above each other: 3x-y=23 2x+3y=8First we want to remove the y terms to be able to find out x, so multiply the top equation by 3 9x-3y=69 2x+3y=8Now that we have -3y on the top and -...

JB
Answered by Jessica B. • Maths tutor
6882 Views

Evaluate log_6(12)+(1/3)log_6(27)

Answering this question requires knowledge of the logarithm rules. Mainly how to manipulate logarithms.Firstly, notice that the multiplication in front of log_6(27) can be moved to be the power of the 27....

CD
Answered by Christine D. • Maths tutor
1670 Views

n is an integer greater than 1. Prove algebraically that n^2 – 2 – (n – 2)^2 is always an even number.

1) Expand the brackets: (n-2)2 = (n-2)(n-2) = n2 - 2n - 2n +4 = n2 - 4n + 42) Substitute this into the original expression: n2...

JM
Answered by James M. • Maths tutor
4992 Views

Solve the simultaneous equations, x^2+y^2=41, and y=2x-3

STEP 1) First, substitute 2x-3 into the quadratic equation, replacing y, which works out as x2+(2x-3)2=41STEP 2) Now, expand the bracket, (2x-3)

HN
Answered by Hannah N. • Maths tutor
5994 Views

A point A lies on the line y = 2x^2 - 8x + 2. A has y-coordinate (-4). Find all possible values for the x-coordinate of A.

The point A = (x', y') lies on the line y = 2x2 - 8x +2. And we are given that y' = -4.Therefore we have tha...

HK
Answered by Hasnat K. • Maths tutor
2606 Views

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