Hello : the system is :
<span> y= -2x+4 ...(1)
y= x² +4x+13....(2)
x²+4x+13 = -2x+4
x²+6x+9=0
(x+3)² =0
x+3=0
x= -3
subsct in (1) : y=-2(-3)+4 =10</span>
The midpoint would be (7, 5)
The midpoint of any two points is simply the average of the x points and the average of the y points. So we'll start by averaging the 2 x points together. To take an average, we add the two numbers together and divide by 2.
X VALUE
4 + 10 = 14
14/2 = 7
Now do the same for y
Y VALUE
22 + -12 = 10
10/2 = 5
Using those answers we can create the ordered pair (7, 5)
6. 6. 6
18. 9. 18
30. 12. 30
12x-6 and 6(2x-1) are equal
The mistake was when she multiplied the 2nd equation by 5, she forgot to also multiply that last number 10 by 5 as well.
correction :
5x + 3y - z = 15
-x + 2y + 3z = 10...multiply by 5
---------------------
5x + 3y - z = 15
-5x + 10y + 15z = 50 (result of multiplying by 5)
--------------------add
13y + 14z = 65
