Question

solve by elimination 2r-5s=1 and 5r+2s=46

Answer 1

2r -5s =1 ----------(i)
5r +2s = 46 ---------(ii)
(i)*2 is 4r -10s = 2
(ii)*5 is 25r +10s = 230
Add 29r = 232
Divide by 29
r = 8
2r -5s =1
2*8 -5s =1
16 -5s = 1
16 -1 = 5s
15 = 5s
3 = s
Answer r = 8 and s = 3

Answer 2

r= (1+5s)/2
46= 5[（1+5s)/2] +2s
s=3
r=8

Answer 3

-5(2r-5s)=1 distribute so -10r+25s=-5
2(5r+2s)=46 distribute so 10r+4s=92
29s=87, s=3. plug in to equation to get value of r