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The ordered pair (1,-3) is a solution of the system

The ordered pair (1,-3) is a solution of the system-example-1

1 Answer

11 votes

Answer:

False

Explanation:

Find the solution of:

2x + 3y = -7 --› eqn. 1

-x = 2y --› eqn. 2

Rewrite equation 2

-x = 2y --› eqn. 2

Divide both sides by -1

x = -2y

Substitute x = -2y in equation 1.

2x + 3y = -7 --› eqn. 1

2(-2y) + 3y = -7

-4y + 3y = -7

-y = -7

Divide both sides by -1

y = 7

If y = 7, then (1, -3) cannot be the solution of the system of equations.

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