The method which is best for solving the system of equations when you remove one variable by adding them is B Elimination
To answer the question, we need to know what system of equations are
<h3>What are system of equations?</h3>
System of equations are pairs of equations that contain two unknowns
<h3>Ways of solving system of equations</h3>
We have different ways of solving systems of equations which include
- Guess and Check
- Elimination
- Graphing and
- Substitution
Since we have the system of equations
3x + 2y = 4
-3x + y = 2
The method which we can use to remove one variable by adding them is the elimination method.
Adding them, we have
3x + 2y = 4
+
-3x + y = 2
3y = 6
y = 6/3
y = 2
So, the method which we can use to remove one variable by adding them is B Elimination
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Answer:
Step-by-step explanation:
y-8=3/5(x-5)
multiply 3/5 times x and -5
y-8=3/5x-3
then add 8
y=3/5x+5
Answer:
2 x 3 x 5
Step-by-step explanation:
that is it
Answer:
There were 14 cars and 3 trucks at the gas station
Step-by-step explanation:
This problem can be modeled by a system of equations.
I am going to say that x is the number of cars at the gas station and y is the number of trucks at the gas station.
The problem states that there were a total of 17 cars and trucks get gasoline at the gas station. It means that x + y = 17.
The problem also states that each car gets 8 gallons of gasoline and each truck gets 19 gallons of gasoline, and that the station sells 169 gallons of gasoline. So 8x + 19y = 169.
So, we have a system with these following equations:
1) x + y = 17
2) 8x + 19y = 169
I am going to write x as a function of y in 1) and replace it in 2)
x = 17 - y
8(17 - y) + 19y = 169
11y = 169 - 136
11y = 33
y = 3
So, there were 3 trucks at the gas station.
From 1)
x = 17 - y
x = 17 - 3
x = 14
There were 14 cars at the gas station.