Given the system of equations presented here:2x + 4y = 144x + y = 20Which of the following actions creates an equivalent system such that, when combined with the other equation, one of the variables is eliminated? (5 points) aMultiply the second equation by −4 to get −16x − 4y = −80 bMultiply the second equation by −1 to get −4x − y = −20 cMultiply the first equation by 2 to get 4x + 8y = 28 dMultiply the first equation by −1 to get −2x − 4y = −14

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 aStep-by-step explanation:To solve a system of equation using the elimination methodMake the coefficient of one variable in the two equations have same values and different signAdd the two equation to eliminate this variableSolve the resulting equation to find the other variableSubstitute the value of the other variable in one of the two equations to find the value of the eliminating variableThe system of equation is :2x + 4y = 14  ⇒ 1st equation4x + y = 20 ⇒ 2nd equationYou can multiply first equation by -2 to get-4x - 8y = -28 ⇒ 3rd equationWhen you add the second and the third equations x will eliminatedORYou can multiply second equation by -4 to get-16x - 4y = -80 ⇒ 3rd equationWhen you add the first and the third equations y will eliminatedThe 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