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Using the substitution method, solve the following simultaneous equations 2y+3x=14 and 6x-y=8

Equation 1: 2y+3x=14 Equation 2: 6x-y=8 Rearrange Equation 2: y=6x-8 therefore 2y=12x-16 Substituting the rearranged equation 2 into equation 1: 12x-16+3x=14 15x-16=14 15x=30 x=2 Substituting x into equation...
AW
Answered by Alex W. • Maths tutor
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Solve 4x + 10 = 18

4x + 10 = 18 4x= 18-10 4x= 8 x=8/4 x=2
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Answered by Katherine W. • Maths tutor
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Solve the simultaneous equations 3x+y=16, x+y=10

3x+y=16 (equation 1)x+y=10 (equation 2)Solve by elimination, notice that we have two of the same y's so as they have the same sign we subtract to get 2x=6, we rearrange to get x= 3 Sub this back into equatio...
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Answered by Meera S. • Maths tutor
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Prove that the square of an odd number is always 1 more than a multiple of 4

We start off by defining what an odd number is. We take a general letter, say the letter n, to represent any number. If we multiple it by 2 we are sure no matter what number we enter as n the answer will alw...
TM
Answered by Tanmayi M. • Maths tutor
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A circle C has centre (-5, 12) and passes through the point (0,0) Find the second point where the line y=x intersects the circle.

The equation of a circle comes in a standard format of (x-a) 2 + (y-b) 2 = r 2 where (a, b) are the coordinates of the centre of the circle and r is the radiusFrom the information, we can find the radius of ...
Answered by • Maths tutor
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