78x+91y=39;65x+117y=42 using elimination method
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78x+91y=39 ----- (i)
65x+117y=42 ---- (ii)
Multiply (i) by 65 and (ii) by 78
5070x + 5915y = 2535 ---- (iii)
5070x + 9126y = 3276 ---- (iv)
Subtract (iv) from (iii)
-3211y = -741
y = -741/-3211
y = 3/13
78x+91y=39 ----- (i)
78x+91(3/13) =39
78x + 21 = 39
78x = 18
x = 18/78
x = 3/13
x = 3/13 and y = 3/13
65x+117y=42 ---- (ii)
Multiply (i) by 65 and (ii) by 78
5070x + 5915y = 2535 ---- (iii)
5070x + 9126y = 3276 ---- (iv)
Subtract (iv) from (iii)
-3211y = -741
y = -741/-3211
y = 3/13
78x+91y=39 ----- (i)
78x+91(3/13) =39
78x + 21 = 39
78x = 18
x = 18/78
x = 3/13
x = 3/13 and y = 3/13
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