Answer:
A; infinitely many solutions
Step-by-step explanation:
first, let's simplify the first equation to make it simpler.
divide both sides by 5
y=3x-8
new system
y=3x-8
y=3x-8
as you can see, they are the same.
not mandatory but useful!⬇⬇⬇⬇
just to be more clear, let's substitute them. since they're both already in y=, we can make them both set to each other.
3x-8=3x-8
add 8 to both sides; subtract 3x from one side
0=0
the answer is A, Infinitely many solutions.
hope this helped <3333333
If you want x, rearrange <span>Z=y+mx as follows: mx = z - y. Then div. all 3 terms by m:
z-y
x = ------- (answer).
m </span>
Answer:
Step-by-step explanation:
common difference d=3-1=2
first term a=1
an=a+(n-1)d
2n-1=1+(l-1)2
2n-1=1+2l-2
2n-1=2l-1
l=n
(i used l for number of terms)
number of terms=n
Answer: -6
Step-by-step explanation: It changed -6 each round because -6x3=-18.\
Hope this helped!
Answer:
(3,-4) or x=3 and y= -4
Step-by-step explanation:
I'm going to solve this by substitution
We first need to get a variable by itself in one of the two equations (it doesn't matter which variable and the equation you do the work on doesn't matter either)
I'm going to solve for y in the second equation
-4x-4y=4
add 4y and subtract 4 from both sides to get
-4x-4=4y
Divide by 4 to get
-x-1=y
We can plug this value in for y into the first equation and get
4x+5(-x-1)= -8
Solve for x
4x-5x-5= -8
-x-5= -8
-x= -3
x=3
We can plug this value into one of the first two equations and solve for y
4(3)+5y= -8
12+5y= -8
5y= -20
y= -4
Therefore the solution is (3,-4) or x=3 and y= -4