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.