Question

Slove the simultaneous equations by cramers rule 4x+ 2y = 4 cand 2x+y=3
3

Answer 1

Step-by-step explanation:

$a1 = 4 \\ b1 = 2 \\ c1 = 4 \\ \\ a2 = 2 \\ b2 = 1 \\ c2 = 3 \\ \\ d = | \frac{a1}{a2} \frac{b1}{b2} | = | \frac{4}{2} \frac{2}{1} | = 4 \times 1 - (2 \times 2) = 4 - 4 = 0 \\ dx = | \frac{ c1}{c2} \frac{b1}{b2} | = | \frac{4}{3} \frac{2}{1} | = 4 \times 1 - (2 \times 3) = 4 - 6 = - 2 \\ dy = | \frac{a1}{a2}\frac{ c1}{c2} | = | \frac{4}{2} \frac{4}{3} | = 4 \times 3 - 4 \times 2 = 12 - 8 = 4 \\ \\ by \: cramers \: rule \: \\ x = \frac{dx}{d} = \frac{ - 2}{0} \\ \\ y = \frac{dy}{y} = \frac{4}{0}$

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