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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=

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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

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