A set of equations is given below:

Equation C: y = 4x + 8
Equation D: y = 4x + 2

Which of the following best describes the solution to the given set of equations?


No solution
One solution
Two solutions
Infinitely many solutions

Respuesta :

Neuron
If you would like to know which of the following best describes the solution to the given set of equations, you can calculate this using the following steps:

y = 4x + 8
y = 4x + 2
___________________
y = y
4x + 8 = 4x + 2
8 = 2

The correct result would be: No solution.

The system of equations y = 4x + 8 and y = 4x + 2 has (a) no solutions

How to determine the solution set?

The system of equations is given as:

y = 4x + 8

y = 4x + 2

Substitute y = 4x + 2 in y = 4x + 8

4x + 2 = 4x + 8

Subtract 4x from both sides

2 = 8

Both sides of the equation are not equal

i.e. [tex]2 \ne 8[/tex]

Hence, the system of equations has (a) no solutions

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