Answer:
(2,0)
Step-by-step explanation:
I will solve your system by substitution.
(You can also solve this system by elimination.)
2x+y=4; x−y=2
Step: Solve 2x+y = 4 for y:
2x + y + −2x = 4 + −2x (Add -2x to both sides)
y = −2x+4
Step: Substitute −2x+4 for y in x−y=2:
x − y=2
x−(−2x + 4)=2
3x − 4=2(Simplify both sides of the equation)
3x − 4 + 4 = 2+4 (Add 4 to both sides)
3x =6
(Divide both sides by 3)
x=2
Step: Substitute2forxiny=−2x+4:
y= −2x + 4
y=(−2)(2) + 4
y=0 (Simplify both sides of the equation)
Answer:
x=2 and y=0
