Solve the following simultaneous equations: 3x+1-2y=0 and 8-x=y

3x+1=2y rearrange16-2x=2y multiply by 23x+1=16-2x solve for x by eliminating y5x=15 rearrangex=3y=8-x=8-3=5 find y using xx=3, y=5

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A linear sequence is as follows: a+b, a+3b, a+5b .... The 2nd term is equal to 15. The 6th term is 47. What is the value of a? What is the value of b? Show your working.


Expand and simplify: 5(x + 3) - 3(y - 2)


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