Question

test the consistency of the system of equations 2x+3y=5 ,11x-5y=6
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Answer 1

Answer:

$2x + 3y = 5 \: \: \: \: \: \: multi(11)\\ 11x - 5y = 6 \: \: \: \: \: \: multi(2) \\ 22x + 33y = 55 \\ 22x - 10y = 12 \\ ( - ) \: \: \: \: \: ( + ) \: \: \: \: \: \:( - ) \\ \: \: \: \: \: \: \: \: \: \: \: 43y = 43 \: \\ y = \frac{43}{43} \\ y = 1 \\ \\ 22x - 10 \times 1 = 12 \\ 22x = 12 + 10 \\ 22x = 22 \\ x = \frac{22}{22} \\ x = 1$

done...... any doubt let me know...