Explain how you can determine that the following system has one unique solution – without actually solving the system. 2x+y=4 , 2y=6-2x

Both equations has different slope , so the system of equation have one unique solution.

Step-by-step explanation:

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To determine that the system of equation has unique solution, we need to find out the slope.

To find slope, we write the equation in the form of y=mx+b

Where m  is the slope and b is the y intercept

Subtract 2x on both sides

here, m= -2 is the slope

Divide both sides by 2

Slope m = -1

Both equations has different slope , so the system of equation have one unique solution.

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step-by-step explanation:

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example answer: "to determine if a sum is reasonable you can round each number to the nearest whole and compare the estimated sum to the actual sum."

hope this you and anyone else who needs the answer : ^)