What is the solution of the system of equation below 3x-2y=7 - 3x+5y=5

x=5 y=4

Step: Substitute

2

3

y+

7

3

forxin-3x+5y=5:

-3x+5y=5

-3 (

2

3

y+

7

3

) + 5y=5

3y-7=5 (Simplify both sides of the equation)

3y-7+7=5+7 (Add 7 to both sides)

3y=12

3y

3

=

12

3

(Divide both sides by 3)

y=4

Step: Substitute4foryinx=

2

3

y+

7

3

:

x=

2

3

y+

7

3

x=

2

3

(4) +

7

3

x=5 (Simplify both sides of the equation)

Answer:

x=5 and y=4