To make this equation have infinitely many solutions, we want to end up with the equation x=x. With this equation, no matter what number we plug in for x, it will be a solution since it will equal itself.
-(x-8)+4x=2()+x
-x+8+4x=2()+x
-2x+8+4x=2()
2x+8=2()
x+4=()
Therefore if we plug x+4 into the equation we will find our equation with infinitely many solutions.
-(x-8)+4x=2(x+4)+x
We can check our solution:
-(x-8)+4x=2(x+4)+x
-x+8+4x=2x+8+x
3x+8=3x+8
Since the right and left side of the equation our equal, we know our solution works.
Answer:
You would have spent $4.50
Step-by-step explanation: Divide 100 by 30 and multiply to 15. So it will look like: 30/100*15= $4.50. I hope this helps
Answer: x=3 and y=−2
Step-by-step explanation:
x=−2y−1;4x−4y=20
Step: Solve x=−2y−1 for x:
Step: Substitute−2y−1 for x in 4x−4y=20:
4x−4y=20
4(−2y−1)−4y=20
−12y−4=20(Simplify both sides of the equation)
−12y−4+4=20+4(Add 4 to both sides)
−12y=24
−12y
−12
=
24
−12
(Divide both sides by -12)
y=−2
Step: Substitute−2 for y x=−2y−1:
x=−2y−1
x=(−2)(−2)−1
x=3(Simplify both sides of the equation)