Question

What is the solution to the system of equations that is shown in the matrix equation? Explain the steps that you took to solve this problem.

Answer 1

By using the method of substitution, we conclude that the solution for the system of equations is x = -2, y = 3.

How to solve the system of equations shown in the matrix equation?

By looking at the matrix equation, we can identify that the two equations in our system are:

• 2*x + 3*y = 5
• 1*x+2*y = 4

Now we can use any method we want to solve this, I like to use substitutions. If we isolate x on the second equation:

x =4 - 2y

Now we can substitute that in the first equation, so we get:

2*(4 - 2y) + 3y = 5

Now we can solve this equation for y.

2*(4 - 2y) + 3y = 5

8 - 4y + 3y = 5

8 - y = 5

8 - 5 = y = 3

Now to get the value of x we can use the equation we found above:

x =4 - 2y

Replacing the value of y we get:

x = 4 - 2*3 = 4 - 6 = -2

In this way, we conclude that the solution of the system of equations is x = -2 and y = 3.

If you want to learn more about systems of equations:

https://brainly.com/question/13729904

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