SOLUTION: How do I solve for this using substitution. 5x+8y=18 x=6-2y

Question 282189: How do I solve for this using substitution.
5x+8y=18
x=6-2y
Found 2 solutions by oberobic, Mathematicians:
Answer by oberobic(2304) (Show Source): You can put this solution on YOUR website!
Substitution is done by...well...substitution.
You use one equation to find a value for 'x'.
Then you substitute that into the other equation.
.
5x + 8y = 18
x = 6 -2y
.
So the second equation is a easy substitution candidate into the first equation.
.
5(6-2y) +8y = 18
30 -10y +8y = 18
30 -2y = 18
-2y = -12
y = 6
.
Now substitute back to find 'x'.
.
x = 6 -2(y)
x = 6 -2(6)
x = 6 -12
x = -6
.
Check by plugging these values into the other equation to ensure they're right.
.
5x + 8y = 18
5(-6) + 8(6) = 18??
-30 +48 = 18
Correct!
.
Answer:
x = -6
y = 6
.
Done.
Answer by Mathematicians(84) (Show Source): You can put this solution on YOUR website!
Substitution is pretty cool
Check this out:

and

are you two equations, we know what x is equal, so look at these next two things:

Look in the highlighted area, see how you just replace x with 6 - 2y, we did this because that is what x was equal to in the second equation

distribute
combine like terms
subtract 30 on both sides
divide by -2 on both sides
Time to solve for X
we know y = 6

Your two answers
RELATED QUESTIONS
x-8y=18 -16x+16y=-8 How do I solve this using substitution... (answered by Alan3354)
x-8y=18 -16x+16y=-8 How do I solve this using substitution... (answered by Alan3354)
How do I solve the following using the substitution steps? 5x+2y=7 y=x-7 Thank... (answered by richwmiller)
how do you solve using the substitution formula x=4y+9... (answered by rfer)
how do u solve this by using substitution x+2y=6... (answered by elima)
How do I solve this equation by substitution? 5x-2y=-5... (answered by tutorcecilia)
Solve this system of linear equations using substitution: x - 7y = -11; and 5x + 2y =... (answered by math_tutor2020,ikleyn)
how do you solve this linear system by using substitution? -x+2y=6 8x+y=31 (answered by mananth)
how do u solve for substitution y=3x 5x+2y= (answered by robertb,Edwin McCravy)