Respuesta :

shinberg

-5(y-15=3x) = -5y+75=-15x

add 15x to both sides and subtract 75 to both sides

-5y+15x=-75

5y-2x=-3

13x=-78

divide 13 to both sides

x=-6

y-15=3(-6)

y-15=-18

add 15 to both sides

y=-3

so the answer is  (-6,-3)

I hope that this helped you sweetie :)

For the given system of equations the solution is (-6, -3).

What is a System of Equations?

  • These are the linear equations with the highest degree of order being one.
  • These are also known as the simultaneous equations.
  • These equations can have one variable, two variables, etc.

Given: System of Equations

y - 15 = 3x                                …(1)

-2x + 5y = -3                            …(2)

From equation (1)

⇒ y - 15 = 3x    

⇒ y = 3x + 15                          …(3)

Now, put the equation y = 3x + 15 in equation (2), we get:

⇒ -2x + 5y = -3

⇒ -2x + 5(3x + 15) = -3

⇒ -2x + 15x +75 = -3

⇒ 13x = -78

⇒ x = -6

Now, put the value of x = -6 in equation (3), we get:

⇒ y = 3x + 15

⇒ y = 3(-6) + 15

⇒ y = -18 + 15

⇒ y = -3

⇒ (x, y) = (-6, -3)

Therefore, the solution of the given system of equations is (-6, -3).

Learn more about the System of Equations here: https://brainly.com/question/17103412

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