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Find and simplify the point(s) of intersection of the curves: x^2 + y^2 =6 , y = x - 3

Substituting y = x-3 into the first equation and expanding brackets:(x-3) 2 +x 2 = 6 <=> 2x 2 -6x +9 =6 <=> 2x 2 -6x +3 =0Solving by using the quadratic formula:x=(6+- sqrt(36-4(2)(3)))/4 = (6+- ...
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Answered by Evans R. • Maths tutor
3358 Views

Simultaneous equations - Find the values of y and x: 3

3x + 5y = 19 and4x - 2y = -18Find the common multiple for 3x and 4x to enable it to be cancelled out. In this case it would be 124(3x + 5y) = 4(19) 3(4x - 2y) = 3(-18) 12x + 20y = 76 12x - 6y = -54 12x + 20y...
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Answered by Zyen U. • Maths tutor
3593 Views

2x + y = 24, x - y = 6

x = 10, y = 4
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Answered by Casimir M. • Maths tutor
3290 Views

What is the sum of the first 100 numbers of the following sequence- 4,12,36, 108, .........

This question is about geometric sequences. The first step in solving this question is identifying that each term is multiplied by 3 to get to the next term.Therefore since the formula for finding the sum of...
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Answered by Harry G. • Maths tutor
4088 Views

solve the simultaneous equation 2y + x = 8 and 1 + y = 2x

The aim of the question is to work out the values for x and y in order to make both equation correct. Therefore the best approach is to try to isolate one of the letters first. step 1. rearrange both equatio...
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Answered by Dina E. • Maths tutor
5343 Views