Solve the system 3x+y=2 5x-y=8

x = 5/4; y = - 7/4

Step-by-step explanation:

I will solve your system by substitution.

(You can also solve this system by elimination.)

3x+y=2; 5x-y=8

Step: Solve3x+y=2for y:

3x+y+-3x=2+-3x (Add - 3x to both sides)

y=-3x+2

Step: Substitute-3x+2foryin5x-y=8:

5x-y=8

5x - (-3x+2) = 8

8x-2=8 (Simplify both sides of the equation)

8x-2+2=8+2 (Add 2 to both sides)

8x=10

8x

8

=

10

8

(Divide both sides by 8)

x=

5

4

Step: Substitute

5

4

forxiny=-3x+2:

y=-3x+2

y=-3 (

5

4

) + 2

y=

-7

4

(Simplify both sides of the equation)

Answer:

x=

5

4

and y=

-7

4