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Rate of change= change in y
Change in x
Divide
Example
X- 1 3
Y- 2 5
To get from 1 to 3 there is +2. To get from 2to 5, there is +3. So the answer is 2/3
1. 4x= 3(18-3x) - 2
4x=54-9x-2
4x+9x=52
13x=52
x=4
substitute 4 for x
4(4)=3y-2
16=3y-2
16 + 2 = 3y
y=6
So your x would be 4 and y would be 6
to check your solution substitute x and y
4(4)=3(6) - 2
16 = 16
Therefore that's the final answer for number 1.
The Y-int would be <u>-16</u>
Answer:
Step-by-step explanation:
Using the linear combination method, you can multiply the first equation by 2 and add the equations to get 20x = 10. Dividing both sides by 20, x = 1/2. To solve for y, substitute 1/2 for x in the equation 8x + 7y = 39 to get 4 + 7y = 39. Solving this equation, y = 5. Checking this in the other equation, 4(1/2) – 14(5) = –68 results in 2 – 70 = –68 or –68 = –68. The solution of the system shown is (1/2, 5). The system 8x + 7y = 39 and 20x = 10 is formed by replacing 4x –14y = –68 by a sum of it and a multiple of 8x + 7y = 39. Since 20(1/2) = 10, the system 8x + 7y = 39 and 20x = 10 also has a solution of (1/2, 5)
