Answer:
[2,6]
Step-by-step explanation:
3x+5y=36
5x-4=y
3x+5(5x-4)=36
3x+25x-20=36
28x-20=36
28x=56
x=2
5x-4=y
5*2-4=y
10-4=y
6=y
Answer:
129/2
Step-by-step explanation:
1 129
64 --- = -------
2 2
To find the improper fraction, you multiply the denominator by the whole number and then add the numerator. In the end, you put that answer over the starting denominator.
64 X 2 = 128 128 + 1 = 129 129 / 2 is the answer
Answer:
Different ways to solve a system of linear equations:
- isolate one variable in one equation and replace it in the other equation
- multiply/divide one equation by a constant and then add/subtract it to the other one, so that only one variable remains
- graph the equation and look at the intersection point
If you graph the system:
- there is only one solution if the lines intersects at only one point
- there is no solution if the lines don't intersect each other (they are parallel)
- there are infinitely many solutions if the lines overlap each other (they are the same equation multiplied by some constant)
Step-by-step explanation:
1st system
y = -x – 7
y = 4/3 x – 7
solution: x= 0, y = 7
2nd system
y = -3x – 5
y = x + 3
solution: x = -2, y = 1
3rd system
y = -2x + 5
y = 1/3 x – 2
solution: x = 3, y = -1
4th system
3x + 2y = 2
x + 2y = -2
solution: x = 2, y = -2
5th system
x + 3y = -9
2x – y = -4
solution: x = -3, y = -2
6th system
x – 2y = 2
-x + 4y = -8
solution: x = -4, y = -3
7th system
5x + y = -2
x + y = 2
solution: x = -1, y = -3
Answer:
Yes, because the plot shows no apparent pattern.
Step-by-step explanation:
All you have to do for this is follow the midpoint formula.
Let me know if the picture is unclear and I'll type it out for you.