Question

2 (05.02)

Solve the system of equations by substitution. What is the solution for x? (1 point)
2x + y = 1
4x + 2y = -2
O x=0
o
There is no x value, as there is no solution
O
x can be any value, as there is an infinite number of solutions.
O x=2

Answer 1

There is no X value, as there is no solution.

Step-by-step explanation: I got it right on a quiz :)

Answer 2

There is no
`x` value, as there is no solution.

Explanation:

Given:

The equations are:

`2x+y=1\\4x+2y=-2`

Divide the 2nd equation by 2. This gives,

`(4x)/(2)+(2y)/(2)=(-2)/(2)\\2x+y=-1`

Now, subtract equation 1 and 2.

`2x+y-2x-y=1-(-1)\\2x-2x+y-y=1+1\\0=2`

We are getting 0 equal to 2 which is not possible as 0 is less than 2. So, there is no solution for this pair of equations.