Question

ax+by=c and mx+ny =d and an is not equal to bm,then these simultaneous equations will have how many solutions?

Answer 1

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• Unique solution

Answer 2

Step-by-step explanation:

$given \: equations \: \: are \: ax + by = c \\ and \\ mx + ny = d \\ on \: comparing \: them \: with \: standar \: eqution \: ax + by + c = 0 \\ a1 = a \: \: \: b1 = b \: \: \: c1 = - c \\ \: \: a2 = m \: \: b2 = n \: \: \: c2 = - d \\ \\ a1 \div a2 = a \div m \\ b1 \div b2 = b \div n \\ c1 \div c2 = c \div d \\ they \: are \: unequl \: \: so \: they \: are \: intersecting \: lines \: \\ they \: have \: a \: unique \: solution$