Answered

Westonci.ca is your trusted source for accurate answers to all your questions. Join our community and start learning today! Discover in-depth solutions to your questions from a wide range of experts on our user-friendly Q&A platform. Get detailed and accurate answers to your questions from a dedicated community of experts on our Q&A platform.

Solve this system of equations by
using the elimination method.
x - 5y = 16
4x - 2y = -8
( , )

Sagot :

Answer:

[tex]x = - 4[/tex]

[tex]y = - 4[/tex]

Step-by-step explanation:

Looking at these equations, we can see neither x or y have the same coefficient. Therefore, we need to multiply or divide, to make either the x or the y the same. It's less of a hassle to make the Xs the same, so let's do that. Taking the top equation and multiplying it by 4, we get:

[tex]4x - 20y = 64[/tex]

Now let's subtract the top equation from the bottom equation, leaving us with a third equation:

[tex] - 18y = 72[/tex]

Divide 72 by -18 to get

[tex]y = - 4[/tex]

Now let's substitute into our first equation to find X:

[tex]x + 20 = 16[/tex]

Leaving us with:

[tex]x = - 4[/tex]

Now let's substitute into the second equation to check our solution is correct:

[tex] - 16 + 8 = - 8[/tex]

This is correct, so the answer is X and Y are both equal to -4

Thanks for stopping by. We are committed to providing the best answers for all your questions. See you again soon. We hope this was helpful. Please come back whenever you need more information or answers to your queries. Stay curious and keep coming back to Westonci.ca for answers to all your burning questions.