Solve the system of equations by elimination. Show all work neatly on your work page. Checking your work is wise. :) 5x + 2y = 20

6x + 5y = 24

(4,0)

Step-by-step explanation:

Let's solve your system by elimination.

5x+2y=20;6x+5y=24

Multiply the first equation by 5,and multiply the second equation by -2.

5(5x+2y=20)

−2(6x+5y=24)

Becomes:

25x+10y=100

−12x − 10y = −48

Add these equations to eliminate y:

13x = 52

Then solve13x=52for x:

13x=52

(Divide both sides by 13)

x=4

Now that we've found x let's plug it back in to solve for y.

Write down an original equation:

5x+2y=20

Substitute 4 for x in 5x + 2y = 20:

(5)(4)+2y=20

2y+20=20 (Simplify both sides of the equation)

2y+20+ −20 = 20 + −20 (Add -20 to both sides)

2y = 0

(Divide both sides by 2)

y=0

for finding the midpoint of any given 2 pair of points simply add the respective x coordinates with other x coordinate and the y coordinate with other y coordinate and divide them by 2

in your question it will be :

(3+1)/2 for the x coordinate of mid point i.e 2

[8+(-4)]/2 for the y coordinate of midpoint i.e 2

so coordinates of mid point of points (3,8) and (1,-4) will be (2,2)