Answer:
Step-by-step explanation:
Move the -4 over to the other side.
Divide both sides by 3.
Answer:
<u><em>(-1,1)</em></u>
Step-by-step explanation:
We can solve this by either graphing and finding ther point the lines intersect, or mathematically, I'll do both.
<u>Graphing:</u>
<u>Mathematically:</u>
−2x + 4y = 6
y = 2x + 3
See the attached graph. The lines intersect at (-1,1)
--------------------
I'll rearrange the first equation (to make it easier for me):
−2x + 4y = 6
4y = 2x + 6
y = (1/2)x + 1.5
Now lets substitute the second equation into the first so that we can eliminate y:
y = 2x + 3
[(1/2)x + 1.5] = 2x + 3
- (3/2)x = (3/2)
x = -1
If x = -1:
y = 2(-1) + 3
y = 1
The solution is x = -1 and y = 1, or (-1,1)
=================
Both approaches give us (-1,1), the solution to the system of equations. It is the only point that satisfies both equations.
Answer:
3(3a - 6b + 7c )
Step-by-step explanation:
The greatest common factor of 9, 18 and 21 is 3
Factor out 3 from each term
9a - 18b + 21c
= 3(3a - 6b + 7c) ← in factored form
Answer:
2 hours = 4 * 30 minutes
30 * 3 = 90
90 * 3 = 270
270 * 3 = 810
810 * 3 = 2430
So after 2 hours you will have 2430 bacteria cells.
Step-by-step explanation:
Answer:
The width is
Step-by-step explanation:
The perimeter of the rectangular yoga mat can be found using the formula;
.
.
It was given that the width of the mat is eight less than half the length.
We put equation (2) into equation (1) to get;
.
.
.
Divide both sides by 3;
We put into equation 2 to get;