<h2>
Hello!</h2>
The answer is:
The x-coordinate of the solution to the system of equations is:
<h2>
Why?</h2>
We can solve the problem writing both equations as a system of equations.
So, we are given the equations:
Then, solving by reduction we have:
Multiplying the first equation by 2 in order to reduce the variable "x", we have:
Now, substituting "y" into the first equation, to isolate "x" we have:
Hence we have that the x-coordinate of the solution to the system of equations is
Have a nice day!
Answer:
For the parallel line it will still have a slpoe of 2/3
Step-by-step explanation:
as for the perpendicular line it will be double like 4/6 so it can meet it at a 90° angle.
M*10-m*2=8
10m-2m=8
8m=8
Divide both sides by 8:
m=8
Fill in the m's:
1*10-1*2=8
10-2=8
8=8
Hope this helps :)
Answer: 21
Step-by-step explanation:
Let the consecutive odd numbers be represented by x and x+2. Therefore,
x × (x+2) = 483
x² + 2x = 483
x² + 2x - 483 = 0
x² + 23x - 21x - 483 = 0
x(x + 23) - 21(x + 23) = 0
(x - 21) = 0
x = 0 + 21
x = 21
The smaller integer is 21
The larger integer is 21 + 2 = 23.
Answer:
K = -72
Step-by-step explanation:
1. Get K/9 by itself to do so add 3 to both sides eliminating it on the left by turning the -11 into -8
2. Multiply by 9 on both sides eliminating the division of 9 on the left and turning -8 into -72 leaving the equation as K = -72
To eliminate a number you must do its opposite so the opposite of -3 is +3 so you +3 to both sides. And always start the equation by eliminating what is not connected to the variable in this case the 9 was connected to the variable as K/9.
