Question

Solve the pair of equations by using the substitution method.
2x + 3y = 9
3x + 4y = 5

Answer 1

Hi ,

It is given that,

2x + 3y = 9

x = ( 9 - 3y )/2 ---( 1 )

3x + 4y = 5 ----( 2 )

Substituting ( 1 ) in equation ( 2 ) ,

we get

3( 9 - 3y )/2 + 4y = 5

27 - 9y + 8y = 10

- y = 10 - 27

- y = -17

y = 17

put y = 17 in equation ( 1 ) we get

x = ( 9 - 3 × 17 )/2

x = ( 9 - 51 )/2

x = -42/2

x = -21

Therefore ,

x = -21 , y = 17

I hope this helps you.

: )

Answer 2

Answer:

Step-by-step explanation:

Hi ,

It is given that,

2x + 3y = 9

x = ( 9 - 3y )/2 ---( 1 )

3x + 4y = 5 ----( 2 )

Substituting ( 1 ) in equation ( 2 ) ,

we get

3( 9 - 3y )/2 + 4y = 5

27 - 9y + 8y = 10

- y = 10 - 27

- y = -17

y = 17

put y = 17 in equation ( 1 ) we get

x = ( 9 - 3 × 17 )/2

x = ( 9 - 51 )/2

x = -42/2

x = -21

Therefore ,

x = -21 , y = 17

I hope this helps you.

: )

p

this answer was copied from @mysticd

and i am now thanking @mysticd for the beautifull answer