Answered

Welcome to Westonci.ca, where you can find answers to all your questions from a community of experienced professionals. Our platform provides a seamless experience for finding reliable answers from a knowledgeable network of professionals. Connect with a community of professionals ready to help you find accurate solutions to your questions quickly and efficiently.

Unit 5: Systems of Equations & Inequalities Homework 2: Solving Systems by Substitution

Unit 5 Systems Of Equations Amp Inequalities Homework 2 Solving Systems By Substitution class=

Sagot :

facundo3141592

By solving the system by substitution, we got the solutions:

x = 2/3, y = 8/3.

Solving the system of equations:

I guess we need to solve problem number 5, so let's do that.

Here we have the system of equations:

y = x + 2

3x + 3y = 6

To solve it by substitution, we need to isolate one of the variables in one of the equations and then replace that in the other equation.

For example, here we can see that "y" is already isolated in the first equation, so we can use that and replace it in the second equation.

3x + 3y = 6

3x + 3*(y = x + 2) = 6

3x + 3*(x + 2) = 6

Now we have an equation that only depends on x, so we can solve it:

3x + 3x + 2 = 6

6x + 2 = 6

6x = 6 - 2 = 4

x = 4/6 = 2/3.

Now we can use the first equation to find the value of y:

y = x + 2 = 2/3 + 2 = 2/3 + 6/3 = 8/3.

Then the solution is:

x = 2/3 and y = 8/3.

If you want to learn more about systems of equations, you can read:

https://brainly.com/question/13729904

We hope this information was helpful. Feel free to return anytime for more answers to your questions and concerns. Your visit means a lot to us. Don't hesitate to return for more reliable answers to any questions you may have. Westonci.ca is your go-to source for reliable answers. Return soon for more expert insights.