Verified Answer :

( 3x + 2y = 1 ) 4
( 4x + 3y = -2 )  3

12x + 8y = 4 --> equation 1
12x + 9y = -6  --> equation 2
-12x - 9y = 6 ---> equation 3 ( changing signs. )
eliminating the x values and adding the like terms

-y = 10
y = -10

Substituting the value of y in equation 1
3x + 2(-10 ) = 1
3x -20 = 1
3x = 21
x = 7

So, X = 7 and Y = -10

Hope this helps...  :)


Willchemistry

\(\left \{ {{3x+2y=1} \atop {4x+3y=-2}} \right.\)

Multiply \(3x+2y=1\) by 4 \(12 x+8y=4\)

Multiply\(4x+3y=-2\) by 3  \(12x+9y=-6\)

\(\left \{ {{12x+8y=4} \atop {12x+9y=-6}} \right.\)

\(\left \{ {{12x+9y=-6} \atop {12x+8y=4}} \right. -\)

\(y = -10\)

\(\left \{ {{12x+8y=4} \atop {y=-10}} \right.\)

for \(12x+8y=4\) plug in \(y=-10\)

\(12x+8(-10) = 4\)

\(12x - 80 = 4\)

Add 80 to both sides:

\(12 x = 4 + 80\)

\(12 x = 84\)

Divide both sides by 12 :

\(x = \frac{84}{12}\)

\(x = 7\)

\(x = 7 , y = -10\)

hope this helps!

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