Question

4x + 3y=15 ; -3x -2y=-7 (solve by elimination method)​

Answer 1

Answer:

x= -9 , y= 17

step by step explanation

4x+3y= 15 ---------(1)

-3x-2y= -7 --------------(2)

multiply equation (1 )with 3 and (2)with 4

now the new eqations are:

12x+9y=45 ------- (3)

-12x-8y=-28 --------(4)

add equation (3) and (4)

12x+9y + -12x-8y = 45 + -28

that is

12x+9y-12x-8y = 17

9y-8y=17

y = 17

put the value of y in eqation (1) 4x+3y=15

4x+3*17=15

4x+51=15

4x=15-51

4x= -36

x= -9

Answer 2

3x+2y=7 ----- (1)

4x−3y=−2----- (2)

Multiply equation (1) by 3 and equation (2) by 2, then add

9x+6y=21

8x−6y=−4

______________

17x=17

x=

17

17

=1

Put the value of x in equation (1), we get

3x+2y=7

3(1)+2y=7

2y=7−3

2y=4

y=

2

4

=2

Therefore the solution is (1, 2)

Step-by-step explanation:

$hope \: it \: will \: helps \: you★$