Answer:
<u>The number of intersections = ∞</u>
Step-by-step explanation:
Given the system of equations:
0.5 x + 5y = 6
3x + 30y = 36
By multiplying the first equation by 6
∴ 6 (0.5 x + 5y) = 6 * 6
∴ 3x + 30y = 36
So, Those equations are "Dependent", because they are really the same equation, just multiplied the first equation by 6.
So, the two equations are identical
Therefore: <u>They have infinity number of solutions.</u>
<u>See the attached figure.</u>
0.5 x + 5y = 6 ⇒ in black color
3x + 30y = 36 ⇒ in red color
Answer:
The slope is 10 (y =10x +15)
Step-by-step explanation:
When using two coordinates to find the slope of a linear function, I choose (-2,-5) and (2,35) *but you can choose any two.
The formula for finding the slope is y-y divided by x-x.
so... (35)-(-5)=40 NOTE: I did 35 minus -5 but you can also do -5 minus 35.
2-(-2)=4 But just remember to do it the same order for
subtracting the x coordinates.
40/4=10
X + y = 304,250
x = y + 51,000
Plug in (y+51,000) for x into the first equation
y+51,000+y = 304,250
Subtract 51,000 from both sides.
2y = 253,250
y = 126,625
Plug y into second equation
x = 126,625 + 51,000
x =177,625
Person A : 177,625
Person B : 126,625
Answer: x=3
Step-by-step explanation:
3 less than 5 times a number" --> 5x−3
"number increased by 9" --> x+9
The sum of 24
5x−3+x+9=24
6x+6=24
6x=18
x=3
Therefore, the number is 3
Answer:
7
Step-by-step explanation:
So, move it to 7.
