Question

use substitution method 2x+3y=5 3x-2y=1​

Answer 1

Answer:

3x+2y=1 ------- (1)

2x−3y=5 ------ (2)

From equation 1:

2y=13x

2y=1−3x

Y=

2

1−3x

Substitute the value of y in equation 2:

2x−3y=5

2x3(

2

1−3x

)=5

4x3+9x=10

13x=10+3

X=

13

13

=1

Now, Substitute x=1 in equation 1 :

3x+2y=1

3x1+2y=1

2y=13

Y=

2

−2

Y=−1

Therefore the solution is: x=1 and y=−1