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What is the solution of the system of equations?

y=2/3x+5
7x-3y=15

A. (0,5)
B. (2,19/3)
C.(4,23/3)
D.(6,9)​

1 Answer

1 vote

Final answer:

The solution of the system of equations is (-30, -15).

Step-by-step explanation:

To find the solution of a system of equations, we need to solve the equations simultaneously to find the values of x and y that satisfy both equations.

Given the system of equations:

y = (2/3)x + 5

x - 3y = 15

Substitute the first equation into the second equation to eliminate the y variable:

x - 3((2/3)x + 5) = 15

Simplify and solve for x:

x - 2x - 15 = 15

-x = 30

x = -30

Substitute the value of x back into the first equation to find the value of y:

y = (2/3)(-30) + 5

y = -20 + 5

y = -15

Therefore, the solution of the system of equations is (-30, -15).

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