Answer:
<em>Answer: The point (1, 2) is not a solution to the system of equations because it does not satisfy the equation 3x + y = –2.</em>
Step-by-step explanation:
<u>System of Equations</u>
Consider the following system of equations
2x + 3y = 8 [1]
3x + y = -2 [2]
And the point (1,2). Substituting in both equations:
For equation [1]:
2*1 + 3*2 = 8
2 + 6 = 8
8 = 8
Since the equation is true, point (1,2) satisfies the equation 2x + 3y = 8
Now for equation [2]:
3*1 + 2 = -2
3 + 2 = -2
5 = -2
Since this equation is false, point (1,2) does not satisfy the equation 3x + y = -2
Answer: The point (1, 2) is not a solution to the system of equations because it does not satisfy the equation 3x + y = –2.
Answer:
The relationship between the graphs is the intersection point at (0.667,1.333)
Step-by-step explanation:
we have
y=2x ----> equation A
The slope of the line A is equal to m=2
The line passes through the origin
y=2-x ----> equation B
The slope of the line B is m=-1
The x-intercept is the point (2,0)
The y-intercept is the point (0,2)
Line A and Line B are not parallel (the slopes are not equal)
Line A and Line B are not perpendicular (the product of their slopes is not equal to -1)
so
The relationship between Line A and Line B is the intersection point both graphs
using a graphing tool
The intersection point is (0.667,1.333)
see the attached figure
The intersection point is a common point , therefore belongs to both lines
Answer:
ggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggg
Step-by-step explanation:
<span><span>K = k + 13</span><span>78</span></span>
Cross multiply:
K * 8 = 7 * k + 13
Simplifying
K * 8 = 7 * k + 13
Reorder the terms for easier multiplication:
8K = 7 * k + 13
Reorder the terms:
8K = 7 * 13 + k
8K = 13 * 7 + k * 7
8K = 91 + 7k
Solving
8K = 91 + 7k
Solving for variable 'K'.
Move all terms containing K to the left, all other terms to the right.
Divide each side by '8'.
K = 11.375 + 0.875k
Simplifying
K = 11.375 + 0.875k
there it was hard but i got it
Answer:
65 bikes
Step-by-step explanation:
The store buys the bikes that they sell for $35, and they sell them for $85, so in order to find the actual amount of money earned from one sale, you have to subtract how much they sell the bikes for by how much they bought them for, so:
85 - 35 = 50
Then, you divide the $3250 by the 50:
3250 / 50 = 65
So now we know that the store must sell 65 bikes a month to break even.
