Question

Solve: a no solution b infinitely many solutions

Answer 1

Answer: a

no solution

Step-by-step explanation:

Solve by substitution:

1) Solve $x=2y+4$ for x:

$x=2y+4$

2) Substitute $2y+4$ for $x$ in $2y=x-6$:

$2y=x-6$

$2y=2y+4-6$

3) Simplify both sides of the equation:

$2y=2y-2$

4) Add $-2y$ to both sides of the equation:

$2y+-2y=2y-2+-2y$

5) Simplify both sides of the equation:

$0=-2$

Therefore, there are no solutions to the system of equations.

Solve by elimination:

You can't solve this system of equations by elimination

Solve by graphing:

The equations are parallel to each other, therefore they never cross, so, there are no solutions.