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erica [24]
3 years ago
12

to start to solve the system of equations below, which number would you multiply in the equation -2x-5y=-1? The two equations ar

e -2x-5y=-1 and 4x+2y=8
Mathematics
1 answer:
Leviafan [203]3 years ago
5 0

Answer:

  The first equation can be multiplied by 2.

Step-by-step explanation:

The x-coefficients are -2 and 4. If the first one of these is multiplied by 2, it will be the opposite of the second of these. That is 2·(-2) = -4. When -4 and 4 are added, the result is 0, so the x-variable will be eliminated.

To solve these equations by "elimination", you look for simple relationships between the coefficients that will let you combine them to get zero.

_____

Here's the rest of the solution.

  2(-2x-5y) +(4x+2y) = 2(-1) +(8) . . . . after multiplying the first equation by 2 and adding the second equation

  -4x -10y +4x +2y = -2 +8 . . . . . the result of eliminating parentheses

  -8y = 6 . . . . . the result of collecting terms

  y = -6/8 = -3/4 . . . . divide by the y-coefficient

Since all of the coefficients in the second equation are even, a factor of 2 can be removed, and the equation written as ...

   2x +y = 4

This can be solved for x, so you have ...

  x = (4 -y)/2 = 2 -(y/2)

Filling in the above value of y, we find x to be ...

  x = 2 -(-3/4)/2

  x = 2 3/8

_____

<em>Comment on eliminating y instead of x</em>

If you divide the second equation by 2 so that y has a coefficient of 1, then you can multiply this equation by 5 to give y a coefficient that is the opposite of the coefficient -5 in the first equation. Then the elimination looks like

  (-2x -5y) +5(2x +y) = (-1) +5(4)

  -2x -5y +10x +5y = -1 +20 . . . . eliminate parentheses

  8x = 19 . . . . simplify

  x = 19/8 = 2 3/8 . . . . divide by the coefficient of x

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6= m - 7/8 HELLLLLLP
Oduvanchick [21]

Answer:

m =  6 7/8 or  55/8.

Step-by-step explanation:

6= m - 7/8

6 + 7/8 = m - 7/8 + 7/8

m =  6 7/8 or  55/8.

4 0
2 years ago
I NEED HELP ASAP 17 points and BRAINLIEST!!!!!!!!!!
guajiro [1.7K]

Answer:

1st 3rd and 4th

Step-by-step explanation:

I just did that

7 0
3 years ago
Use the system of equations and graphs below to complete the sentence. x − 2 ⁢ y = 5 3 ⁢ x + 15 ⁢ y = − 6 Set of 4 graphs are re
Leno4ka [110]

The solution to the given system of linear equations is (3, -1)

<h3>Graph of Linear Equations</h3>

From the question, we are to determine the graph of the system of linear equations

The given system of equations is

x - 2y = 5

3x + 15y = -6

The graph of the given system of equation is shown below

From the graph,

The point of intersection of the lines is at (3, -1)

Hence, the solution to the given system of linear equations is (3, -1)

Learn more on Graph of Linear equations here: brainly.com/question/14323743

#SPJ1

4 0
1 year ago
The velocity,v of a missile is related to time t, By the equation v=5t^2+3t+1.calculate the time at which the velocity is minimu
Cloud [144]

Answer:

  • time: t = -0.3
  • minimum: v = 0.55

Step-by-step explanation:

For quadratic ax^2 + bx + c, the extreme value is found at x=-b/(2a). For your quadratic, the minimum is found at ...

  t = -(3)/(2(5))

  t = -0.3 . . . . . time of minimum velocity

__

The value of velocity at that time is ...

  v = 5(-0.3)^2 +3(-0.3) +1 = 5(.09) -.9 +1

  v = 0.55 . . . . . value of minimum velocity

3 0
3 years ago
I need help on this question for math
Ganezh [65]

Answer:

y = -12

Step-by-step explanation:

any equation with only an x or y value present will either be a vertical or horizontal line. Because the y axis is vertical, a line that is present on y=-12 will sit on y=-12 forever, and therefore be a horizontal line

7 0
2 years ago
Read 2 more answers
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