Question

What type of solution the equation- 3x -4y=12 & 4y+3x=12 has?

Answer 1

Answer:No Solution ,  Parallel lines with 24unit seprated

Step-by-step explanation:

Given eqn -: -3x -4y = 12          and         4y +3x = 12

modifying equation 1 -: 3x +4y = -12

Now you see equation 1 and 2 are similar with coefficient of x and y are same.

Therefore slope of equation are same: m = 3/4( Coefficient of x /y)

Only difference is in the intercept value: -12 in equation 1 and 12 in equation 2

So these line will never intersect and will be parallel to each other which implies No solution.

Note: distance between two parallel line is difference in magnitude of intercept values of equation 1 and 2.

i.e abs(-12-12) = 24 unit distance between both lines

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Answer 2

✎4y+3x=12 :

★A᭄ɴsᴡΣʀ࿐

${S}{l}{o}{p}{e}=\frac{{1.500}}{{2.000}}={0.750}$

${x}-{i}\text{}{n}{t}{e}{r}{c}{e}{p}{t}=\frac{{12}}{{3}}={4}$

${y}-{i}\text{}{n}{t}{e}{r}{c}{e}{p}{t}=-\frac{{12}}{{4}}=-{3}$

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