Question

Find the value of al Alpha and ßin which the following pair of equation has infinite no solutions
2x+3y=7and 2alpha X + (alpha+ß)y=28

Answer 1

Step-by-step explanation:

$\frac{a1}{a2} = \frac{b1}{b2} = \frac{c1}{c2}$

$\frac{2}{ 2\alpha } = \frac{3}{ \alpha + \beta } = \frac{7}{28}$

$2 \alpha + 2 \beta = 6 \alpha$

$2 \beta = 4 \alpha \\ \beta = 2 \alpha$

$84 = 7 \alpha + 7 \beta$

$84 = 7 \alpha + 14 \alpha$

$84 = 28 \alpha$

$\alpha = 3$

$\beta = 6$

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