2x + 3y = 46, 3x +5y = 74 substitution method
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Step-by-step explanation:
2x + 3y = 46
=> 2x = 46 - 3y
=> x = (46 - 3y)/ 2 = 23 - 1.5y
Second equation, 3x + 5y = 74
3×(23-1.5y) + 5y = 74
=> 69 - 4.5y + 5y = 74
=> 0.5y = 74 - 69
=> 0.5y = 5
=> y = 5 / 0.5
=> y = 10
x = 23 - 1.5 × 10 = 23 - 15 = 8
Value of x = 8
Value of y = 10
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