Math, asked by TheUnknownLily, 3 months ago

Answer this question :

• Use Elimination method :)

ㅤㅤㅤ4x + 3y = -6
ㅤㅤㅤ7x + 6y = -18

Need fast answer :) :) :) :)​

Answers

Answered by shadow988
5

Answer:

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Answered by CuteAnswerer
9

GIVEN :

  • \bf{4x +3y = -6} and \bf{7x+6y = -18}

TO DO :

  • Solve by Elimination Method.

SOLUTION :

Multiply the first equation by 2 :

\implies{ \sf{2(4x + 3y) = -6 \times 2}} \\ \\

\implies{ \bf{8x +6y = -12- (i)}}

Multiply the second equation by 1 :

\implies{ \sf {1(7x + 6y) = -18 \times 1}} \\ \\

\implies{ \bf {7x+6y = -18 - (ii)}}

Now, Subtracting second equation from the first equation :

\implies \sf(8x + 6y) - (7x +6y) = -12 - (-18) \\ \\

\implies \sf 8x + 6y -7x - 6y = -12+18 \\ \\

\implies \sf8x -7x + \cancel{6y } - \cancel{6y }= 6 \\ \\

\implies \sf8x - 7x = 6\\ \\

\implies \huge{ \underline{\boxed{ \purple{\bf {x = 6 }}}}}

Substituting the obtained value of x in the first equation :

\implies \sf {4x +3y = -6}\\ \\

\implies \sf 4\times 6 + 3y = -6 \\ \\

\implies \sf 24+3y = -6 \\ \\

\implies \sf 3y = -6-24 \\ \\

\implies \sf 3y = -30\\ \\

\implies \sf y = \cancel{\dfrac{-30}{3}} \\ \\

\implies\huge{ \underline{\boxed{ \purple{ \bf {y = -10 }}}}}

\huge{\pink{\therefore}} The value of x and y is 6 and -10 respectively.


Skyllen: Nice!
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