Respuesta :

Answer:

x = 9 , y = 12

Step-by-step explanation:

given the system of equations

y = 2x - 6 → (1)

y = x + 3 → (2)

substitute y = 2x - 6 into (2)

2x - 6 = x + 3 ( subtract x from both sides )

x - 6 = 3 ( add 6 to both sides )

x = 9

substitute x = 9 into either of the 2 equations and solve for y

substituting into (2)

y = x + 3 = 9 + 3 = 12

The solution is x = 9, y = 12

KitdaAneek

Answer: (9,12) [tex]x=9, y=12[/tex]

Step-by-step explanation:

This one's tricky. We are given both equations in terms of y. Instead of substituting and getting the x-value, we are going to have to use an equality statement to solve for x.

Solving:

Given: [tex]y=2x-6, y=x+3[/tex]

Substitute first equation into second:

[tex](2x-6)=x+3[/tex] (As you see, both equations are equal)

Now solve for x:

[tex]2x=x+9[/tex]

[tex]-x[/tex]     [tex]-x[/tex]

[tex]x=9[/tex]

Now plug in x into the first or second equation and get the y-value :

[tex]y=2x-6[/tex]

[tex]y=2(9)-6[/tex]

[tex]y=12[/tex]

That's it!

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