Question

Question content area top
Part 1
Use substitution to solve the system of equations.
y plus 1
equals
minus2x
4 y plus 8 x
equals
minus4
Question content area bottom
Part 1
Select the correct answer below​ and, if​ necessary, fill in the answer box to complete your choice.
A.
The solution is xequals
  
enter your response here​, yequals
  
enter your response here.
​(Simplify your​ answers.)
B.
There are infinitely many solutions.
C.
There is no solution.

Answer 1

From y + 1 = −2x we get y = −2x − 1. Substitute into 4y + 8x = −4:

4(−2x − 1) + 8x = −8x − 4 + 8x = −4, which is true for every x.

So the system has infinitely many solutions. Parametrically: x = t, y = −2t − 1 for any real t.