What is the solution to the system of equations?

18x + 15 – y = 0
5y = 90x + 12
A.

No solution
B.

One solution: x = 12, y = 15
C.

One solution: x = 15, y = 12
D.

Infinitely many solutions

Respuesta :

the answer to the question
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The solution to the system of equations is No solution.

Given

The system of equations;

[tex]\rm 18x + 15 - y = 0\\\\5y = 90x + 12[/tex]

System of equations;

When solving the system, you must consider all of the equations involved and find a solution that satisfies all of the equations.

From equation 1

[tex]\rm 18x + 15 - y = 0\\\\18x=-15+y\\\\x=\dfrac{-15+y}{18}[/tex]

Substitute the value of x in equation 2

[tex]\rm 5y = 90x + 12\\\\ 5y=90(\dfrac{-15+y}{18})+12\\\\5y=5(-15+y)+12\\\\5y=-75+5y+12\\\\5y-5y=-63\\\\0=-63[/tex]

Hence, the solution to the system of equations is No solution.

To know more about the system of equations click the link given below.

https://brainly.com/question/12895249