Solve the system of equations using substitution.

y = x + 6
y = –2x – 3

I still trying to do it, but it is hard for me, can you explain that again?

Thanks Ms. Sue.

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y = x + 6

y =

Obviously y is the same in both equations.

x + 6 = –2x – 3

Combine like terms.

3x = -3 - 6

3x = -9

x = -3

y = -3 + 6
y = -3

Thanks, now i got it :)

You're welcome. :-)

To solve the system of equations using substitution, we need to solve one equation for one variable and substitute it into the other equation. Let's solve the first equation for x:

y = x + 6

Now, let's solve this equation for x:

x = y - 6

We now have x expressed in terms of y. We can substitute this expression for x into the second equation:

y = -2x - 3

Substituting x = y - 6 into the second equation, we get:

y = -2(y - 6) - 3

Now, we can simplify and solve for y:

y = -2y + 12 - 3
y = -2y + 9

We can now solve for y by moving the terms involving y to one side of the equation:

3y = 9
y = 9/3
y = 3

Now that we have found the value of y, we can substitute it back into one of the original equations to solve for x. Let's substitute y = 3 into the first equation:

x = 3 - 6
x = -3

So the solution to the system of equations is x = -3 and y = 3.