Question
Estimate the intersection point as a glass of the following Lanier equations in two variables Y equals negative X +7 and y equals 4X -3
Answers
Answered by
GPT 3.5
To find the intersection point between the two lines, we need to solve the system of equations formed by equating Y and y:
Y = -X + 7
y = 4X - 3
Setting them equal to each other:
-X + 7 = 4X - 3
Adding X to both sides:
7 = 5X - 3
Adding 3 to both sides:
10 = 5X
Dividing both sides by 5:
X = 2
Substituting this value of X into either equation (let's use Y = -X + 7):
Y = -2 + 7
Y = 5
Therefore, the intersection point is (2, 5).
Y = -X + 7
y = 4X - 3
Setting them equal to each other:
-X + 7 = 4X - 3
Adding X to both sides:
7 = 5X - 3
Adding 3 to both sides:
10 = 5X
Dividing both sides by 5:
X = 2
Substituting this value of X into either equation (let's use Y = -X + 7):
Y = -2 + 7
Y = 5
Therefore, the intersection point is (2, 5).