Question

Solve the system of equations using subtraction. y = -2x + 1 4x + 2y = -3 a. Infinity many solutions b. No solution c. (0,-5) d. (-5,0)

Answer 1

Given:

The given system of equation is:

`y=-2x+1`

`4x+2y=-3`

To find:

The solution of given system of equations using subtraction.

Solution:

We have,

`y=-2x+1` ...(i)

`4x+2y=-3` ...(ii)

First equation can be rewritten as

`2x+y=1` (Adding 2x on both sides)

`4x+2y=2` ...(iii) (Multiplying both sides by 2)

After subtracting (ii) from (iii), we get

`4x+2y-(4x+2y)=2-(-3)`

`4x+2y-4x-2y=2+3`

`0=5`

This statement is false because
`0\\eq 5`. It means, there is no value of x and y for which the given system of equations are true.

Therefore, the given system of equations has no solution and the correct option is b.