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Solve:
a
(-1/2, 17/2)
b
(1/2, 15/2)
c
This system has no solutions.
d
This system has infinitely many solutions.

Solve A 12 172 B 12 152 C This System Has No Solutions D This System Has Infinitely Many Solutions class=

Sagot :

2185030

Answer: c

This system has no solutions.

Step-by-step explanation:

Solve by substitution:

1) Solve [tex]y=-x+8[/tex] for y:

[tex]y=-x+8[/tex]

2) Substitute [tex]-x+8[/tex] for [tex]y[/tex] in [tex]x+y=7[/tex]:

[tex]x+y=7[/tex]

[tex]x+-x+8=7[/tex]

3) Simplify both sides of the equation:

[tex]8=7[/tex]

4) Add -8 to both sides of the equation:

[tex]8+-8=7+-8[/tex]

5) Simplify both sides of the equation:

[tex]0=-1[/tex]

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

Solve by elimination:

You can't solve the system of equations by elimination.

Solve by graphing:

The lines are parallel to each other, Therefore they never cross, so, The system of equations has no solutions.

View image 2185030
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