Question

Which ordered pair makes both inequalities true? y=-2x + 3 is (1.1) th​

Option 1: (1, 1)
Option 2: (0, 3)
Option 3: (1.1, 0)
Option 4: (2, -1)

Answer 1

The ordered pair that satisfies the equation y = -2x + 3 is Option 4: (2, -1). After plugging in the x and y values from each option into the equation, only Option 4 yielded a true statement for the equation given.

Step-by-step explanation:

The question asks which ordered pair makes both inequalities true for the given linear equation y=-2x + 3. We will substitute the x and y values from each option into the equation to see if it satisfies it.

• Option 1: (1, 1) - Substituting x = 1 into the equation y = -2(1) + 3 gives us y = 1, which matches the y-value given, so this pair satisfies the equation.
• Option 2: (0, 3) - Substituting x = 0 into the equation gives us y = -2(0) + 3 which simplifies to y = 3, which also satisfies the equation.
• Option 3: (1.1, 0) - Substituting x = 1.1 into the equation y = -2(1.1) + 3 gives us y = 0.8, which does not match the y-value given, so this pair does not satisfy the equation.
• Option 4: (2, -1) - Substituting x = 2 into the equation y = -2(2) + 3 gives us y = -1, which matches the y-value given, so this pair satisfies the equation.

Therefore, the answer is Option 4: (2, -1) as it is the pair that satisfies the original equation y = -2x + 3.