sloce the pair of linear equation 2x-3y=19. 3x-2y=21 substation method
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Answer:
The equations given to us are:
2x−3y=19 ...(1)
3x−2y=21 ...(2)
By substitution method, we will substitute the value of y from equation 1 in equation 2.
∴ from first equation y=
3
(2x−19)
So by substituting the value of y in the second equation,
The second equation becomes:
3x−
3
2(2x−19)
=21
⇒
3
9x−4x+38
=21
⇒5x=63−38
⇒5x=25
⇒x=5
Substituting the value of x in equation number (1) we get ,
2(5)−3y=19
⇒10−19=3y
⇒−9=3y
⇒y=−3
then y from above equation will be −3.
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