Answer:
12=12
Step-by-step explanation:
2a = b
a -3b =12
To solve, set one of the equations equal to zero. The first equation is actually already set to 0.
b = 2a
Now you can plug this equation into the other one, by substituting the b in the equation with this.
a -3b = 12
a – 3(2a) = 12
Now all you have to do is distribute the 3 (multiply the number outside the parenthesis, 3 in this case, by everything inside).
a – 6a = 12
Combine like terms. Since we have 1 positive a and 6 negative ones, we subtract the two numbers without the signs
6-1 = 5
And take the sign of the larger number. Since 6 is large and 6 is negative, we are left with
-5a = 12
Now solve for a, which in this case means dividing both sides by -5
a = -12/5
Simplify
a = -2.4
Now that you have a, it’s easy to find b
b = 2a
b = 2(-2.4)
b= -4.8
Now you check your work by plugging your new a and b into either equation to see if it’s true.
-4.8 = 2(-2.4)
-4.8 = -4.8
And just for laughs let’s try the other equation
a -3b =12
-2.4 – 3(-4.8) = 12
Distribute the 3 again. Remember that when two negative numbers are multiplied they become positive.
-2.4 +14.4 = 12
12 = 12
Answer:
1/16
Step-by-step explanation:
Find the common denominator between 3/4, 1/8, and 1/16. 3/4 and 1/8 denominator can be 16. Then we have to make their denominator the same so multiply 3/4 with 4/4 and multiply 1/8 with 2/2:
3/4 + 1/8 + 1/16 = 12/16 + 2/16 + 1/16 = 15/16
now canola oil is the only thing left to find so that means:
16/16 - 15/16 = 1/16
Answer:
6 parts yellow
Step-by-step explanation:
ANSWER
Three (3) cartons of juice
Y=3X+68.25
80=3X+68.25
Subtract 68.25 from both sides
11.75=3X
Divide
11.75/3=3.91
He can't buy a portion of a juice but he doesn't have enough to buy 4
So he can afford 3 juice cartons
