Explanation:
Given,
6x - 5y = 10.5 .............. (1)
5x - 3y = -2 .................. (2)
Multiplying eq (1) by 3 and (2) by 5 then subtracting,
18x - 15y = 31.5
(-) 25x - 15y = -10
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-7x = 41.5
x = - 41.5 / 7 = -83 / 14
Inserting the value of x in eq (2)
5 * (-83 / 14) - 3y = -2
y = -129 / 14
x = -83 /14 and y = -129 /14