Answer:
Step-by-step explanation:
<u>Given system</u>
- 4x + 6y = 18
- (y + 2) = 1/3(x + 2)
<u>Solution is the intersection point:</u>
<u>Simplify the first equation:</u>
- 2x + 3y = 9
- 3y = -2x + 9
- y = -2/3x + 3
<u>Check:</u>
- 1/9 = -2/3*4 1/3 + 9
- 1/9 = -26/9 + 9
- 1/9 = (27 - 26)/9
- 1/9 = 1/9
<u>Simplify the second equation:</u>
- y + 2 = 1/3x + 2/3
- y = 1/3x + 2/3 - 2
- y = 1/3x - 4/3
<u>Check</u>:
- 1/9 = 1/3*13/3 - 4/3
- 1/9 = (13 - 12)/9
- 1/9 = 1/9
Since 0 < y < 1.5, hence the coordinate (1,1) is a solution
<h3>A solution to the system of inequality</h3>
Given the following inequality expression
y>0
y< 2.5x - 1
Wee are to check if (1, 1) is a solution to the systen of equation
If x = 1
y < 2.5(1) - 1
Y < 2.5 - 1
y < 1.5
Since 0 < y < 1.5, hence the coordinate (1,1) is a solution
Learn more on inequality here: brainly.com/question/24372553
Answer: m = 2
The formula for slope can be found by finding the difference in y between two values divided by the difference in x between the same two values. In this case, you would subtract 4 from 8 and 2 from 4, to get 4/2, or 2. The slope is represented by the variable m, so m = 2.
Using the factor label method, you would set up your ratio like so:
Answer: the first answer choice is the answer i think it is at least
Step-by-step explanation: