Answer:
6x3x2
Step-by-step explanation:
-30-5x=-4x-6(5+4x)
First, you need to use the distributive property on the right to get -30-5x=-4x-30-24x
Then, you can add like terms to get -30-5x=-30-28x
Then, you can add 30 to both sides and add 5x to both sides to get 0=-23x
Finally, you divide both sides by -23 to get 0=x
Answer:
First brand of antifreeze: 21 gallons
Second brand of antifreeze: 9 gallons
Step-by-step explanation:
Let's call A the amount of first brand of antifreeze. 20% pure antifreeze
Let's call B the amount of second brand of antifreeze. 70% pure antifreeze
The resulting mixture should have 35% pure antifreeze, and 30 gallons.
Then we know that the total amount of mixture will be:

Then the total amount of pure antifreeze in the mixture will be:


Then we have two equations and two unknowns so we solve the system of equations. Multiply the first equation by -0.7 and add it to the second equation:



+

--------------------------------------



We substitute the value of A into one of the two equations and solve for B.


Answer:
line 1: y= 1x+ 2
line 2: y= -1x-0.5
(usually 1 is omitted but I added for clarity)
Step-by-step explanation:
slope (x)= yfinal-yintial/xfinal-xinitial
b= where line intersects y axis
line 1: (-1,0), (0.5,1.5)
(1.5-0)/(0.5-(-1))
(1.5)/(1.5)
slope= 1x
y=x+ 2
line 2: (-0.5,0), (0.5,-1)
(-1-0)/(0.5-(-0.5))
(-1)/(1)
slope= -1x
y=-x-0.5