77.1k views
0 votes
Solve the system of equations using substitution. y = −2x + 1 4x + 2y = −2

No solution
Infinitely many solutions
(0, −4)
(−4, 0)

User Almenon
by
6.9k points

2 Answers

5 votes

Answer: First Option

No solution

Explanation:

We have the following system of linear equations


y = -2x + 1


4x + 2y = -2

-------------------------------------

To solve the system of equations using the substitution method, enter the first equation in the second equation as shown below.


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


4x -4x + 2 = -2


0= -4

The variable x is eliminated and 0 is not equal to -4. So the system has no solution

User MerickOWA
by
7.0k points
1 vote

Answer:

No solution

Explanation:

The first equation is
y=-2x+1

The second equation is
4x+2y=-2.

Put the first equation into the second one.


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


4x-4x+2=-2.


4x-4x=-2-2.


0=-4.

This is not TRUE.

Therefore the system has no solution

User William Isted
by
7.7k points