Solve using elimination method:2y+3x=13xy; 5y–4x=-2
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Answer:
Step-by-step explanation:
3x +2y = 13xy -------(1)
4x - 5y = 2xy --------(2)
by using elimination method
multiply by 5 in eq. 1 and 2 in eq.2
5(3x + 2y = 13xy)
2(4x - 5y = 2xy)
15x + 10y = 65xy
8x - 10y = 4xy
23x = 69xy
y = 23x/69x
y = 1/3
put y in eq.1
3x + 2y = 13xy
3x + 2(1/3) =13x(1/3)
3x + 2/3 = 13x/3
2/3 = 13x/3 -3x
2/3 = (13x - 9x)/3
2/3 = 4x/3
2×3 = 4x × 3
6 = 12x
x = 1/2
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