Answer:
(2,2)
Step-by-step explanation:
Since the y's already have different signs, you can multiply the top equation by 2 and eliminate the y's. You may instead multiply the bottom equation by -3 and eliminate the x's. Either way, solve for the variable that is left. Plug that answer back into either equation and solve for the other variable. The answer is (2,2).
3x−y=4;x+2y=6
Step: Solve3x−y=4for y:
3x−y+−3x=4+−3x(Add -3x to both sides)
−y=−3x+4
−y
−1
=
−3x+4
−1
(Divide both sides by -1)
y=3x−4
Step: Substitute3x−4foryinx+2y=6:
x+2y=6
x+2(3x−4)=6
7x−8=6(Simplify both sides of the equation)
7x−8+8=6+8(Add 8 to both sides)
7x=14
7x
7
=
14
7
(Divide both sides by 7)
x=2
Step: Substitute2forxiny=3x−4:
y=3x−4
y=(3)(2)−4
y=2(Simplify both sides of the equation)
Answer:
x=2 and y=2
