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Solve the simultaneous equations for x and y: 3x+2y = 14 and 5x-y = 6

3x + 2y = 14 -> 15x - y = 6 -> 2Answer: x = 2 and y =4Solution:multiply both sides of equation 2 by 2: 10x - 2y = 12add this to equation 1: 3x + 10x + 2y -2y = 14 +12simplify: 13x = 26divide by 13: ...

MF
Answered by Megan F. Maths tutor
5157 Views

x - 2y = 1 , x^2 + y^2 = 13 find the solutions to this quadratic equation

equation 1) x - 2y = 1equation 2) x2 + y2 = 13
Rearrange equation 1 to: x = 1+2ysubstitute into equation 2: (1+2y)2 + y2=13expand first bracket: (1+2y)(1+2...

CS
Answered by Caitlin S. Maths tutor
3153 Views

solve y=3x+4, x=y+1

Equation 1) y=3x+4Equation 2) y=x+1
Rearrange equation 2 into terms of x as this is the simplest: x= y-1 (We do this by subtracting 1 off of each side to get X by itself)Substitute new equation 2 int...

CS
Answered by Caitlin S. Maths tutor
3164 Views

Explain through Darwin's Theory of evolution how species become better adapted to their environment.

Darwin's Theory suggests that all populations have variation between them, this variation is primarily caused by mutations in DNA. If an individual within a species gains...

CS
Answered by Caitlin S. Biology tutor
2972 Views

What is the difference between nature and nurture?

The nature vs nurture debate is about whether behaviour is caused by our genetics or whether all behaviour is learnt. Genetics refers to our DNA; what we are born with which is determined by our parents' ...

LP
Answered by Lisa P. Psychology tutor
6445 Views

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