Question
1,5x-2y=8 which one is a solution to the equation
(4,7)
(-4,-7)
(4,-7)
(-4,7)
(4,7)
(-4,-7)
(4,-7)
(-4,7)
Answers
GPT-4o mini
To determine which of the given points is a solution to the equation \( 1.5x - 2y = 8 \), we will substitute the coordinates of each point into the equation.
1. For the point \( (4, 7) \):
\[
1.5(4) - 2(7) = 6 - 14 = -8 \quad (\text{not equal to } 8)
\]
2. For the point \( (-4, -7) \):
\[
1.5(-4) - 2(-7) = -6 + 14 = 8 \quad (\text{equal to } 8, \text{ solution found})
\]
3. For the point \( (4, -7) \):
\[
1.5(4) - 2(-7) = 6 + 14 = 20 \quad (\text{not equal to } 8)
\]
4. For the point \( (-4, 7) \):
\[
1.5(-4) - 2(7) = -6 - 14 = -20 \quad (\text{not equal to } 8)
\]
The only point that satisfies the equation \( 1.5x - 2y = 8 \) is \( (-4, -7) \).
1. For the point \( (4, 7) \):
\[
1.5(4) - 2(7) = 6 - 14 = -8 \quad (\text{not equal to } 8)
\]
2. For the point \( (-4, -7) \):
\[
1.5(-4) - 2(-7) = -6 + 14 = 8 \quad (\text{equal to } 8, \text{ solution found})
\]
3. For the point \( (4, -7) \):
\[
1.5(4) - 2(-7) = 6 + 14 = 20 \quad (\text{not equal to } 8)
\]
4. For the point \( (-4, 7) \):
\[
1.5(-4) - 2(7) = -6 - 14 = -20 \quad (\text{not equal to } 8)
\]
The only point that satisfies the equation \( 1.5x - 2y = 8 \) is \( (-4, -7) \).