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Solve the simultaneous equations algebraically.

x^2 + y^2 = 29y - x = 3Rearrange the second equation such that one variable, either x or y, is the subject. I will rearrange to make x the subject. x = y - 3. Substitute the new equation into equation 1 in p...
JA
Answered by Jane A. • Maths tutor
3363 Views

Prove that (3n+1)²-(3n-1)² is a multiple of 4 taking into account that n is a positive integer value

Square the brackets (3n+1)²= (3n+1)(3n+1) = 9n²+3n+3n+1 = 9n²+6n+1 (3n-1)²= (3n-1)(3n-1) = 9n²-3n-3n+1 = 9n²-6n+12. Write out the full equation (9n²+6n+1) - (9n²-6n+1) = 9n²+6n+1-9n²+6n-1 = 12n3. Explain you...
NK
Answered by Nalin K. • Maths tutor
7513 Views

How do you solve two simultaneous equations? (i.e. 5x + y =21 and x - 3y =9)

There are two ways of solving the simultaneous equations. The easiest one is to write two equations beneath each other and then try to get either x or y values the same on both of them by multiplying the val...
PM
Answered by Paulina M. • Maths tutor
3527 Views

Find the value (8/125)^-2/3

(8/125)^-2/3We can write this as ((8/125)^1/3)^-2So cube rooting we then get (2/5)^-2Then if we get the inverse we get (5/2)^2And finally we square the answer to get 25/4
NN
Answered by Nabeel N. • Maths tutor
9882 Views

divide 352 into a ratio of 5:11

5 + 11 = 16352/16 = 2222 x 5 = 11022 x 11 = 242therefore the answer is 110 and 242
PZ
Answered by Paul Z. • Maths tutor
3076 Views