Answer:
2x - 3y = -1
Step-by-step explanation:
Standard form: Ax + By = C
Given: slope = 2/3 and passes through the point (1,1)
Point slope form: y - y1 = m(x - x1)
Plug in
y - 1 = 2/3(x - 1)
Multiply both sides by 3
3(y - 1) = 2(x -1)
Distributive property
3y - 3 = 2x - 2
Since standard form: Ax + By = C so you can re-write the equation:
2x - 2 = 3y - 3
Subtract 3y from both sides
2x - 3y = -3
Add 2 to both sides
2x - 3y = -1
Answer in standard form: 2x - 3y = -1
You can write every speed as the ratio between the space and time, so in this case you have
Answer:
your probability would be 6/20 or 0.3
Step-by-step explanation:
Total: 73
dogs: x
cats: 2x+10
2x+10+x=73
3x+10=73
3x=63
x=21
dogs: x
dogs: 21
cats: 2x+10
cats: 52
Check answer:
cats+dogs=73
52+21=73
There's no need for a system of linear equations if you were to solve a real life problem like this. In calculus, they don't give a rat about HOW you get your answer to an easy algebra 1 equation, as long as you used one of the correct methods and got the right answer.
Best of luck my friend. :)
