gemsinchi
contestada

Solve the system of equations and choose the correct answer from the list of options. x − y = 7 y = 3x + 12 2 over 19 comma 2 over 33 negative 2 over 19 comma negative 33 over 2 negative 19 over 2 comma negative 33 over 2 19 over 2 comma 33 over 2

Respuesta :


[tex]x - y = 7 \\ y = 3x + 12[/tex]

First
[tex]x - y = 7 \\ x = 7 + y[/tex]
Substitute that into
[tex]y = 3(7 + y) + 12 \\ y = 21 + 3y + 12 \\ 2y = - 33 \\ y = - \frac{33}{2} [/tex]
Substitute that into
[tex]x = 7 + ( - \frac{33}{2} ) \\ x = \frac{14}{2} - \frac{33}{2} \\ x = - \frac{19}{2} [/tex]
x = -19/2, y = -33/2

Hope this helps. - M
facundo3141592

We will solve the system by substitution, the solution is (-9.5, -16.5).

How to solve a system of equations?

Here we have the system of equations:

x - y = 7

y = 3x + 12

To solve it, first, we need to isolate one of the variables, and then replace that in the other equation. We already have y isolated on the second equation, so we can replace it on the first one.

x - y = 7

x - (3x + 12) = 7

x - 3x - 12 = 7

-2x - 12 = 7

-2x = 7 + 12 = 19

x = 19/-2 = -9.5

Now that we know the value of x, we can use one of the equations to find the value of y.

y = 3*(-9.5) + 12 = -16.5

Then the solution is (-9.5, -16.5).

If you want to learn more about systems of equations, you can read:

https://brainly.com/question/13729904