Which choice is the most efficient first step to solve this set of equations?
y + 3x + 4y = 2x + 4 + 17
Add the two equations together.
3x + 4(2x + 4) = 17
Substitute (2x + 4) for y in the second equation.
3x + 4y – y = 17 – (2x + 4)
Subtract the first equation from the second equation.
y – (3x + 4y) = 2x + 4 – 17
Subtract the second equation from the first equation.
Which choice is the most efficient first step to solve this set of equations?
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To solve the given set of equations efficiently, the best first step is to simplify the first equation.
The original equation is:
[ y + 3x + 4y = 2x + 4 + 17 ]
Combine like terms on the left side:
[ 5y + 3x = 2x + 21 ]
Now, by rearranging the equation, you can isolate one variable effectively:
[ 5y = 2x + 21 – 3x ]
[ 5y = -x + 21 ]
This step makes it easier to substitute or solve for one variable in later steps.
So, the most efficient first step is to combine like terms in the first equation.
For more in-depth assistance or additional questions, feel free to check the extended services page!
To solve the set of equations efficiently, the best first step is to combine like terms and simplify the first equation. This is important because it simplifies the problem and provides a clearer path to isolate variables.
For example, in the first equation:
[ y + 3x + 4y = 2x + 4 + 17 ]
you can combine the y terms:
[ 5y + 3x = 2x + 21 ]
From there, you can solve for one variable in terms of the other, making it easier to substitute or eliminate variables in the next steps.
Encourage yourself to simplify and rearrange before proceeding with substitutions or combinations of the equations. If you need further assistance, please check the extended services page!
The most efficient first step to solve the set of equations is to combine like terms in the first equation.
Let’s simplify the first equation:
1. Start with the equation: (y + 3x + 4y = 2x + 4 + 17).
2. Combine like terms on the left side: (5y + 3x = 2x + 21).
3. Now you can isolate variables and proceed from there.
This approach helps clarify the relationship between the variables right at the beginning, making it easier to solve the equations thereafter. For further assistance, check the extended services page for additional help!
To determine the most efficient first step to solve the set of equations, let’s simplify the given equation:
1. Combine like terms in the first equation:
(y + 3x + 4y = 2x + 4 + 17) simplifies to (5y + 3x = 2x + 21).
The options provided suggest various steps, but the best first step is to combine like terms and simplify the equation rather than adding or subtracting equations or substituting at this stage.
Therefore, the most efficient first step is to simplify the equation. If you’d like help with further steps or explanations, feel free to ask!