Answered

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Solve:

a
no solution
b
infinitely many solutions

Solve A No Solution B Infinitely Many Solutions class=

Sagot :

2185030

Answer: a

no solution

Step-by-step explanation:

Solve by substitution:

1) Solve [tex]x=2y+4[/tex] for x:

[tex]x=2y+4[/tex]

2) Substitute [tex]2y+4[/tex] for [tex]x[/tex] in [tex]2y=x-6[/tex]:

[tex]2y=x-6[/tex]

[tex]2y=2y+4-6[/tex]

3) Simplify both sides of the equation:

[tex]2y=2y-2[/tex]

4) Add [tex]-2y[/tex] to both sides of the equation:

[tex]2y+-2y=2y-2+-2y[/tex]

5) Simplify both sides of the equation:

[tex]0=-2[/tex]

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.

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