Solve the following system of equations by substitution 3 x + 0.5 y = 11 x + 2 y = 0

Mathematics

1 answer:

SVEN [57.7K]1 year ago

6 0

The solution to the system of equations using substitution is given by:

x = 4 and y = 2.

<h3>What is a system of equations?</h3>

A system of equations is when two or more variables are related, and equations are built to find the values of each variable.

For this problem, the equations are given by:

3x + 0.5y = 11.

x + 2y = 0.

From the second equation, we have that:

x = -2y.

Replacing in the first equation, we have that:

3(-2y) + 0.5y = 11

-5.5y = 11.

5.5y = -11

y = -11/5.5

y = -2.

Then the solution for x is:

x = -2y = -2(-2) = 4.

The solution to the system of equations using substitution is given by:

x = 4 and y = 2.

More can be learned about a system of equations at brainly.com/question/24342899

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