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Solve each system by substitution How can you solve a system of linear equation by using substitution

Solve each system by substitution How can you solve a system of linear equation by-example-1
User Enzotib
by
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1 Answer

6 votes

Answer:

(3, -2)

Explanation:

Solving for x in the second equation gives


x=-2y-1

Putting this into the first equation gives


2(-2y-1)+3y=0

Expanding the left-hand side gives


-4y-2+3y=0
-y-2=0
\boxed{y=-2.}

With the value of y in hand, we put it in x + 2y = -1 to get


x+2(-2)=-1
x-4=-1

adding 4 to both sides gives


\boxed{x=3.}

Hence, the solution to the system is (3, -2) and it can be verified by plotting the graph.

Solve each system by substitution How can you solve a system of linear equation by-example-1
User Martin
by
7.8k points

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