Answer:
The line has a slope of -1.
Step-by-step explanation:
To solve for the slope of the line, use the rise over run formula. The rise over run formula is a measure of how much something changes vertically compared to how much it changes in the horizontal direction. The rise over run formula calculates the difference between the two points in the vertical direction (rise) and then divide it by the difference in the horizontal direction (run). The formula looks like
, but in terms of finding a slope, it looks like
.
For finding the slope of this line with the points (-3,5) and (5,-3), start by writing down the information given from the question.




Next, plug in the information given from the question into the formula, and the formula will look like
. Then, simplify the equation, which will look like
. The final answer will be -1.
The action that creates an equivalent system such that, when combined with the other equation, one of the variables is eliminated is " Multiply the second equation by -4 to get -16x - 4y = -80 " ⇒ answer a
Step-by-step explanation:
To solve a system of equation using the elimination method
- Make the coefficient of one variable in the two equations have same values and different sign
- Add the two equation to eliminate this variable
- Solve the resulting equation to find the other variable
- Substitute the value of the other variable in one of the two equations to find the value of the eliminating variable
The system of equation is :
2x + 4y = 14 ⇒ 1st equation
4x + y = 20 ⇒ 2nd equation
You can multiply first equation by -2 to get
-4x - 8y = -28 ⇒ 3rd equation
When you add the second and the third equations x will eliminated
<em>OR</em>
You can multiply second equation by -4 to get
-16x - 4y = -80 ⇒ 3rd equation
When you add the first and the third equations y will eliminated
The action that creates an equivalent system such that, when combined with the other equation, one of the variables is eliminated is " Multiply the second equation by -4 to get -16x - 4y = -80 "
Learn more:
You can learn more about the system of equations in brainly.com/question/2115716
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Answer:
$6
Step-by-step explanation:
if you buy 5 stuffed animals for $30 then you divide 30 by 5 and get 6
Answer:
D. x = 12, y = -8.
Step-by-step explanation:
x + y = 4......(1)
2x + 3y = 0......(2)
Multiply equation (1) by -2:
-2x - 2y = -8 .....(3)
Add (2) + (3):
y = -8
Substitute y = -8 into equation (2):
2x + 3(-8) = 0
2x - 24 = 0
2x = 24
x = 12.
Check the results in equation (1).
x + y = 4
12 + -8 = 4
They check out OK.