System A:
6x + y = 2
-x - y = -3
System B:
2x - 3y = -10
-x-y = -3
Solve:
System A:
6x + y = 2
y = 2 - 6x
-x - (2-6x) = -3
-x - 2 + 6x = -3
5x = -3 + 2
5x = -1
x = -1/5
y = 2 - 6(-1/5)
y = 2 + 6/5
y = 2 + 1.2
y = 3.2 System A: x = -1/5 or -0.2 ; y = 3 1/5 or 3.2
System B:
2x - 3y = -10
2x = -10 + 3y
x = -5 + 1.5y
-x - y = -3
-(-5 + 1.5y) -y = -3
5 - 1.5y - y = -3
-2.5y = -3 - 5
-2.5y = -8
y = 3.2
x = -5 + 1.5(3.2)
x = -5 + 4.8
x = -0.2 System B: x = -0.2 ; y = 3.2
<span>B) They will have the same solution because the first equations of both the systems have the same graph.</span>
Answer:
v = 2q
Step-by-step explanation:
If this is all is given in the question, then the answer is an equation. If there are numbers given, then plug the numbers into the equation to solve.
Answer:
y= 8000x + 2000
Step-by-step explanation:
to find the formula we can use the points given in the question:
the slope:
to get the slope we can take the 2 points, (0,2000) and (2,18000) where x values are time and y values are bacteria
now using slope-intercept form we can get
which gives a slope of 8000 meaning for each hour there are 8000 new bacteria
intercept:
since we start with 2000 bacteria we know this is the y intercept so when x is 0
formula:
y=8000x + 2000
Answer:
x=0
Step-by-step explanation:
Solve for x.
5(x - 3) + 4(x + 3) = 3(x - 1)
Distribute
5x -15 +4x +12 = 3x-3
Combine like terms
9x -3 = 3x-3
Add 3 on each side
9x -3+3 = 3x-3
9x = 3x
Subtract 3x from each side
9x-3x = 3x-3x
6x =0
Divide by 6
6x/6 = 0/6
x=0