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)

x=5 and y=4

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