Answered

Get the information you need with the help of IDNLearn.com's expert community. Discover in-depth answers to your questions from our community of experienced professionals.

how do I solve x=y+8
and 5x+3y=12in substitution form

Sagot :

Crisforpidn
5*(y + 8) + 3*y = 12 <=> 8*y + 40 = 12 ,<=> 8*y = -28 < => y = -7/2;

x = y + 8 => x = -7/2 + 8 => x = 9/2.
Poppytartzspamidn

Answer:

x = 4.5 and y = -3.5

Step-by-step explanation:

To find the solution to this system of equations using the substitution method, you must solve for either the x or y variable and then substitute into the other equation.

x = (y + 8)

5x + 3y = 12

We will use the first equation to solve for x. The x has to be isolated on one side. Since the first equation already has x on the one side, we can plug it into the other equation.

5(y+8) + 3y = 12

Distribute and solve:

5y + 40 + 3y = 12

8y + 40 = 12

8y = 12-40

8y = -28

y = -3.5

Now we have the y variable, we can plug that back into the first equation to find x.

x = (-3.5) + 8

x= 4.5

Your answer will be x = 4.5 and y = -3.5

Thank you for contributing to our discussion. Don't forget to check back for new answers. Keep asking, answering, and sharing useful information. Thank you for trusting IDNLearn.com with your questions. Visit us again for clear, concise, and accurate answers.