2x+3y=9 3x+4y=5

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Yogita Ingle 5 years, 6 months ago
Given: 2x +3y = 9 _______(1),
3x + 4y = 5 ______(2)
From (1) 2x = 9 – 3y
{tex} x=\frac{9-3 y}{2}{/tex} ______ (3)
Substitute (3) in (2)
{tex}3\left(\frac{9-3 y}{2}\right)+4 y=5\\\\\left(\frac{27-9 y}{2}\right)+4 y=5{/tex}
27 – 9y + 8y = 10
27 – 10 = y
y = 17 ______(4)
Substitute (4) in (1)
2x +3(17) = 9
2x = 9 – 51
2x = -42
x = -21 and y = 17
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