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Solve the simultaneous question

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Do not use a method of trial and improvement

 

ok I will use elimination method - I will eliminate x to solve for y, then I will substitute the answer to find x

 

5x + 2y = 1   (1a)       times through by 2

10x+4y=2     (1b)

 

2x - 3y = 8     (2a)    times through by 5

10x-15y=40

 

(1b)-(2b)

 

 10x-10x+4y--15y=2-40

4y+15y=-38

19y=-38

y=-2

Sub y=-2 into (1a)

5x+2*-2=1

5x-4=1

5x=5

x=1

 

so

x=1   and    y=-2