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.

if x decreases by 4 then y increases by 10

step-by-step explanation: