This 2 x 2 (two equations, two variables) system of equations can be solved by either the elimination or substitution methods. Since it takes one step to write one variable for another, substitution gets the call here.
Call x + y = 12 equation #1
Call 20x + 35y = 315 equation #2
We solve equation #1 for y (you can do it for x too).
x + y = 12
y = 12 - x.
Now we take that solved equation and put it into #2. We solve it for x.
20x + 35 (12 - x) = 315
20x + 420 - 35x = 315
-15x + 420 = 315
-15x = -105
x = 7
Now we take that x = 7 and put it back into an ORIGINAL equation. You can use either one, but equation #1 works well here.
x + y = 12
7 + y = 12
y = 5
Therefore the solution of the system is x = y and y = 5, or (7, 5).
Answer:
4 minutes
Step-by-step explanation:
looks at the 8 gallon line and follow it over to the corresponding minute line
1 pound = 0.453592 Kilograms
Mass of the rice in pounds = 3.18 pounds
3.18 pounds = (3.18*0.453592) Kilograms
= 1.442424 Kilograms
The mass of the rice in kilograms is 1.442424 Kilograms.
Answer:
(3 × 3) - (3 ÷ 3) = 8
Step-by-step explanation:
We want to find an expression that when solved will be equal to 8.
But we are restricted to using only the number "3" four times with any Maths operation.
Thus let's try;
(3 × 3) - (3 ÷ 3) = 9 - 1 = 8
Answer: 8 Candy Bars
Step-by-step explanation:
<u>Information</u>
Total=$30
Magazine=$8
Candy Bars=$3
<u>Equations</u>
$30-$8= $24
$24/$3=8