The system of equations that is equivalent to the given system of equation is
STEP - BY - STEP EXPLANATION
What to find?
The system of equations that is equivalent to the given system of equation are:
2x + 4y = 14
-16x - 4y = -80
Given:
2x + 4y = 14
4x + y = 20
We need to examine each option.
First option
2x + 4y = 14
-16x - 4y = -80
The first equation is equivalent to the first given equation.
When -4 is multiply through the second given equation, we will have -16x - 4y =-80.
Hence, the first equation is equivalent to the given equation.
Second, third and fourth option
Observe that they are not equivalent to the given system.
Therefore, the correct option is the first option.
2x + 4y = 14
-16x - 4y = -80