The action that creates an equivalent system such that, when combined with the other equation, one of the variables is eliminated is " Multiply the second equation by -4 to get -16x - 4y = -80 " ⇒ answer a
Step-by-step explanation:
To solve a system of equation using the elimination method
- Make the coefficient of one variable in the two equations have same values and different sign
- Add the two equation to eliminate this variable
- Solve the resulting equation to find the other variable
- Substitute the value of the other variable in one of the two equations to find the value of the eliminating variable
The system of equation is :
2x + 4y = 14 ⇒ 1st equation
4x + y = 20 ⇒ 2nd equation
You can multiply first equation by -2 to get
-4x - 8y = -28 ⇒ 3rd equation
When you add the second and the third equations x will eliminated
OR
You can multiply second equation by -4 to get
-16x - 4y = -80 ⇒ 3rd equation
When you add the first and the third equations y will eliminated
The action that creates an equivalent system such that, when combined with the other equation, one of the variables is eliminated is " Multiply the second equation by -4 to get -16x - 4y = -80 "
Learn more:
You can learn more about the system of equations in brainly.com/question/2115716
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