Question

Use addition to solve the linear system of equations. Include all of your work in your final answer. 3x-y=6 y=x-4

Answer 1

Problem:
Solve 3x−y=6;y=x−4
Steps:
I will try to solve your system of equations.
y=x−4;3x−y=6
Step: Solvey=x−4for y:
Step: Substitutex−4foryin3x−y=6:
3x−y=6
3x−(x−4)=6
2x+4=6(Simplify both sides of the equation)
2x+4+−4=6+−4(Add -4 to both sides)
2x=2
2x
2
=
2
2
(Divide both sides by 2)
x=1
Step: Substitute1forxiny=x−4:
y=x−4
y=1−4
y=−3(Simplify both sides of the equation)

Answer:
y=−3 and x=1

Answer 2

3x-y=6
y=x-4

substitute y=x-4 into 3x-y=6

3x-y=6
3x-(x-4)=6
3x - x +4 = 6
2x = 2
x = 1

y=x-4 = 1 - 4 = -3

answer
(1,-3)