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2 years ago

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

Mathematics

1 answer:

Citrus2011 [14]2 years ago

3 0

Answer:

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

(Divide both sides by 8)

Step: Substitute

forxiny=−3x+2:

y=−3x+2

y=−3(

)+2

−7

(Simplify both sides of the equation)

Answer:

and y=

−7

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