Question

Create an equivalent system of equations using the sum of the system and the first equation. x + 4y = 8 4x + y = 2

Answer 1

Answer:

Equivalent systems of equations review

Step-by-step explanation:

We're given two systems of equations and asked if they're equivalent.

x + 4y = 8 (1)

4x + y = 2 (2)

Interestingly, if we sum the equations in System A, we get:

$x + 4y = 8 \\4x + y = 2$

$5x+5y=10$

Replacing the first equation in System A with this new equation, we get a system that's equivalent to System A:

$5x+5y=10$

$4x + y = 2$

This is System B, which means that System A is equivalent to System B.