Question

Solve the system of equations using substitution

Answer 1

Answer:

Option 3 - No solution

Step-by-step explanation:

Given : The system of equations

$y=-2x+1$ and $4x+2y=-1$

To find : Solve the system of equations using substitution ?

Solution :

Let $y=-2x+1$  .....(1)

$4x+2y=-1$ ......(2)

Substitute the value of y from equation (1) in equation (2),

$4x+2(-2x+1)=-1$

$4x-4x+2=-1$

$2\neq -1$

As it is not true.

The solution of system does not exist i.e. no solution.

Therefore, option 3 is correct.

Answer 2

y = −2x + 1

4x + 2y = −1

Replace Y in the second equation with the value of Y in the first one.

4x + 2(-2x +1) = -1

Distributive Property:

4x + -4x + 2 = -1

Combine like terms:

2 = -1 which is not true, so there are no solutions.