3x−2y =195x+4y =17 by elimination

Step-by-step explanation:

Step: Solve3x−2y=19for x:

3x−2y=19

3x−2y+2y=19+2y(Add 2y to both sides)

3x=2y+19

3x

3

=

2y+19

3

(Divide both sides by 3)

x=

2

3

y+

19

3

Step: Substitute

2

3

y+

19

3

forxin5x+4y=17:

5x+4y=17

5(

2

3

y+

19

3

)+4y=17

22

3

y+

95

3

=17(Simplify both sides of the equation)

22

3

y+

95

3

+

−95

3

=17+

−95

3

(Add (-95)/3 to both sides)

22

3

y=

−44

3

22

3

y

22

3

=

−44

3

22

3

(Divide both sides by 22/3)

y=−2

Step: Substitute−2foryinx=

2

3

y+

19

3

:

x=

2

3

y+

19

3

x=

2

3

(−2)+

19

3

x=5(Simplify both sides of the equation)

x=5 and y=−2

it has the same slope and a different y-intercept

hope this : )

-2 is the right