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I really need help with this can u please explain how to do it

I really need help with this can u please explain how to do it-example-1
User Reigertje
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1 Answer

23 votes
23 votes

Solving by substitution method.

If we clear y in equation 1, we get:


y=3+x

Now, if we substitute this result into equation 2, we have


3x+(3+x)=-1

By clearing parenthesis, we get 3x+3+x=-1.

Now, by combining similar terms, we obtain


4x+3=-1

If we move +3 to the right hand side as -3, we have


\begin{gathered} 4x=-1-3 \\ 4x=-4 \\ x=-(4)/(4) \\ x=-1 \end{gathered}

Finally, by substituting this result into out first equation, we get


\begin{gathered} y=3+(-1) \\ y=3-1 \\ y=2 \end{gathered}

Therefore, the solution of the system is x=-1 and y=2.

User Hawks
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