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Nadya [2.5K]
2 years ago
15

Solve the system by substitution​

Mathematics
1 answer:
Alexxandr [17]2 years ago
5 0
1) Solve one of the equations for either variable.

2) Substitute the expression from Step 1 into the other equation.

3) Solve the resulting equation.

4) Substitute the solution in Step 3 into one of the original equations to find the other variable.

5) Write the solution as an ordered pair.
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Solve using any method. −2x+y=−3 x+y=3 ( 5, 2) ( 1, 2) ( 2, 5) ( 2, 1)
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Answer:

Therefore the solution set is (x , y) = ( 2 , 1 )

Step-by-step explanation:

Given:

-2x+y=-3  ...............Equation ( 1 )

x+y=3\\  ...............Equation ( 2 )

\therefore y=3-x     ...............Equation ( 3 )

To Find:

x = ?

y = ?

Solution:

Using Substitution Method we will have

Substitute  above ' y ' Equation 3 in Equation 1 we get

-2x+(3-x)=-3\\-2x-x=-3-3\\-3x=-6\\3x=6\\x=\dfrac{6}{3}=2\\\\x=2

Now Substitute  ' x ' in Equation 3 we get

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Therefore the solution set is (x , y) = ( 2 , 1 )

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Answer:

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