Question

Create an equivalent system of equations using the sum of the system and the first equation.

x + 4y = 8
4x + y = 2

x + 4y = 8
5x + y = 2
x + 4y = 8
5x + 5y = 2
x + 4y = 8
4x + 5y = 10
x + 4y = 8
5x + 5y = 10

Answer 1

x+4y=8

5x+5y=10

Explanation:

Answer 2

`x+4y=8\\5x+5y=10`

Explanation:

Given:

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

Adding the above two equations, we get

`x + 4y+4x + y= 8+2\\x+4x+4y+y=10\\5x+5y=10`

Therefore, an equivalent system of equations using the sum of the system and the first equation is :

`x+4y=8\\5x+5y=10`