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1) 2x+y=5 2y=2x-8
2) 2x+y= -4 x+y= -7

1 Answer

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Answer:

To solve the system of equations:

2x + y = 5 (Equation 1)

2y = 2x - 8 (Equation 2)

We can use substitution method. Solving Equation 2 for y, we get:

y = x - 4

Substituting this expression for y into Equation 1, we get:

2x + (x - 4) = 5

Simplifying and solving for x, we get:

3x = 9

x = 3

Substituting this value of x into Equation 1, we get:

2(3) + y = 5

y = -1

Therefore, the solution to the system of equations is x = 3 and y = -1.

To solve the system of equations:

2x + y = -4 (Equation 1)

x + y = -7 (Equation 2)

We can use elimination method. Adding the two equations together, we get:

3x = -11

x = -11/3

Substituting this value of x into Equation 2, we get:

-11/3 + y = -7

y = -7 + 11/3

y = -10/3

Therefore, the solution to the system of equations is x = -11/3 and y = -10/3.

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