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PLZ ANSWER WORTH 20 POINTS!! URGENT!
A set of equations is given below: Equation C: y = 3x + 7 Equation D: y = 3x + 2 Which of the following best describes the number of solutions to the given set of equations? (1 point) A. One solution B. Two solutions C. Many solutions D. No solution

Respuesta :

MrRoyal

Answer:

D. No solution

Step-by-step explanation:

Given

[tex]y = 3x + 7[/tex]

[tex]y = 3x + 2[/tex]

Required

The number of solutions

We have:

[tex]y = 3x + 7[/tex] and [tex]y = 3x + 2[/tex]

Equate both i.e.

[tex]y = y[/tex]

So, we have:

[tex]3x + 7 = 3x + 2[/tex]

Subtract 3x from both sides

[tex]3x -3x + 7 = 3x -3x + 2[/tex]

[tex]7 = 2[/tex]

The above is false

i.e. [tex]7 \ne 2[/tex]

Hence, the system has no solution

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