Respuesta :

carlosego
For this case we have the following system of equations:
 [tex]5x + 3y = -18 2x- 4y = -28[/tex]
 We can rewrite the system of equations to clear the variable y.
 We have then:
 [tex]10x + 6y = -36 10x- 20y = -140[/tex]
 Adding both equations we have:
 [tex]6y - 20y = -176 -14y = -176[/tex]
 Answer:
 An expression that gives the y-coordinate of the solution of the system is:
 [tex]-14y = -176[/tex]

Answer:

3 ( y+6 ) = 10( 7-y ) is the answer.

Step-by-step explanation:

The given equations are 5x + 3y = -18 and 2x - 4y = -28

We have to find the expression that gives the coordinate of the solution of the system.

5x + 3y = -18

       5x = 18 - 3y

        x = [tex]\frac{-3(y+6)}{5}[/tex] -----------(1)

2x - 4y = -28

       x  = -2y = - 14

       x = -14 + 2y

       x = -2 (7 - y) ----------(2)

Now we will equate both the equations (1) and (2)

-[tex]\frac{3}{5}[/tex] ( y + 6 ) = -2 ( 7-y )

3 ( y+6 ) = 10( 7-y )

Therefore, 3 ( y+6 ) = 10( 7-y ) is the answer.

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