Question

which system of equations is a equivalent to the following system? 2x + 4y = 14 4x + y = 20 answers choices 2x + 4y = 14 / -16x - 4y= -802x+4y=14/ -4x+ y = -204x+8y =-28 / 4x +y = 20-2x - 4 y =14/ 4x + y = 20

Answer 1

Given:

2x + 4y = 14

4x + y = 20

Required:

We need to find the equivalent to the given system.

Explanation:

Consider the equation

$4x+y=20$

Multiply both sides of the equation by -4, it will not affect the equations of the system

$-4(4x+y)=-4\times20$$-16x-4y=-80$

Final answer:

The equivalent system of the equation is

$2x+4y=14$$-16x-4y=-80$