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What is the solution to the system of equations y 3x 2 5x 2y 15?

Sagot :

The solution of the system of equations y = -3x - 2 and 5x + 2y = 15 is (-19, 55)

The first equation is

y = -3x - 2

The second equation is

5x + 2y = 15

To solve this problem we have to use the substitution method

Substitute the value of y = -3x - 2 in the second equation 5x + 2y = 15

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

5x - 6x - 4 = 15

-x - 4 = 15

-x = 15 + 4

-x = 19

x = -19

Substitute the value of x in the first equation

y = -3x - 2

y = -3(-19) - 2

= 57 - 2

= 55

Therefore, the solution of the system of equation is (-19, 55)

I have solved the question in general, as the given question is incomplete

The complete question  is

What is the solution to the system of equations

y = -3x - 2 and 5x + 2y = 15

Learn more about substitution method here

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