Question

Given the system of equations presented here:

Answer 1

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

#LearnwithBrainly