Slope y-intercept form is: y=mx+b
All you have to do is rearrange the equation:
2x-3y=6
2x=6+3y
2x-6=3y
now divide both sides by 3
(2x/3)-(6/3)=(3y/3)
and it becomes
x
Bonus: you can plug in any two values for x and y and you can see both equation gives the same answer!
The answer for 2/5 divided by 1/4 is 0.1
So you have 10 gallons of gas
You use 1.625 or 1.63 an hour
You can either do 10/1.625 = 6 hours and 15 mins
You can either do 10/1.63 = 6 hours and 13 mins
Call the two equations above A and B, in order to not confuse them.
A: -2x + 6y = -38
B: 3x - 4y = 32
For this system we have opposites in x and y, so Elimination (or Linear Combination) works best. Either variable works, so let's work with x first and multiply A by 3 and B by 2. This is done so we get opposites in A and B then when added together give zero.
-2x + 6y = -38 ------> multiply by 3 ----> -6x + 18y = -114
3x - 4y = 32 ------> multiply by 2 -----> 6x - 8y = 64
Now we add the new equations. The -6x and 6x are opposites and go away. We are left with
10y = -50. We divide both sides by 10 and get that y = -5.
Now we take y = -5 and put it into an original equation. Let's use A.
-2x + 6y = -38 the original equation A
-2x + 6(-5) = -38 we found y = -5
-2x + (-30) = -38 evaluating and multiplying
-2x - 30 = -38 apply the parentheses
-2x = -8 add 30 to both sides
x = 4 divide on both sides by -2
Thus x = 4 and y = -5, or (4, -5) is the solution.
Answer:
18
Step-by-step explanation:
The area of a triangle is given by
A = 1/2 bh where b is the base and h is the height
The base length is 6 and the height is 6
A = 1/2 (6) * 6
A =18
