0
Can you find the point of intersection of the lines with equations y equals 7-3x and y equals 2x-3?
Wiki User
∙ 14y ago
Yes I can. Where the lines intersect, (7 - 3x) = (2x - 3). Add (3 + 3x) to both sides of this equation, giving: 10 = 5x or x = 2. Plug x=2 back into either one of the given equations to find 'Y'. If we've done our work correctly, we should get the same 'Y' regardless of which equation we plug x=2 into. And in fact we do: From the first one: Y = 7 - 3x = 7 - (3 times 2) = 7 - 6 = 1 From the second one: Y = 2x - 3 = (2 times 2) - 3 = 4 - 3 = 1 So the two lines intersect at the point ( 2, 1 ).
Wiki User
∙ 14y ago
Add your answer:
Earn +20 pts
What kind of line is this equation 2y plus 4 equals 10 y equals -2x plus 5?
There are two equations in the question, not one. They are the equations of intersected lines, and their point of intersection is their common solution.
What is the intersection point of the lines 2X plus y equals -6 and -3X-2y equals 10?
Solving the simultaneous equations works out as x = -2 and y = -2 So the lines intersect at: (-2, -2)
What is the intersection point of the lines 2x plus y equals 2 and -3x-2y equals -6?
The intersection is (-2, 6)
What is the common point of these equations x plus 2y equals 6 x plus y equals 2?
When x = -2 then y = 4 which is the common point of intersection of the two equations.
When two or more lines intersect at a point they are said to be?
Theorem: If two lines intersect, then exactly one plane contains both lines. So, when two or more lines intersect at one point, they lie exactly in the same plane. When two or more lines intersect at one point, their point of intersection satisfies all equations of those lines. In other words, the equations of these lines have the same solution, which is the point of intersection.
What is the significance of the intersection point of two lines?
The coordinates of the point of intersection must satisfy the equations of both lines. So these coordinates represent the simultaneous solution to the two equations that that represent the lines.
What is the point at which the lines intersect in a system of linear equations?
The coordinates of the point of intersection represents the solution to the linear equations.
What kind of line is this equation 2y plus 4 equals 10 y equals -2x plus 5?
There are two equations in the question, not one. They are the equations of intersected lines, and their point of intersection is their common solution.
What is the common point of these equations x plusy equals 6 x plus y equals 2?
x + y = 6x + y = 2These two equations have no common point (solution).If we graph both equations, we'll find that each one is a straight line.The lines are parallel, and have no intersection point.
What is the intersection point of the lines 2X plus y equals -6 and -3X-2y equals 10?
Solving the simultaneous equations works out as x = -2 and y = -2 So the lines intersect at: (-2, -2)
What is the point of intersection between the lines y equals 4x -1 and 3y -8x plus 2 equals 0?
The point of intersection of the given simultaneous equations of y = 4x-1 and 3y-8x+2 = 0 is at (0.25, 0) solved by means of elimination and substitution.
What is the intersection point of the lines 2x plus y equals 2 and -3x-2y equals -6?
The intersection is (-2, 6)
What is the common point of these equations x plus 2y equals 6 x plus y equals 2?
When x = -2 then y = 4 which is the common point of intersection of the two equations.
When two or more lines intersect at a point they are said to be?
Theorem: If two lines intersect, then exactly one plane contains both lines. So, when two or more lines intersect at one point, they lie exactly in the same plane. When two or more lines intersect at one point, their point of intersection satisfies all equations of those lines. In other words, the equations of these lines have the same solution, which is the point of intersection.
What is the point of intersection of the lines 6y equals -x -25 and 6x plus 20.5 -y equals 0?
It works out that the point of intersection is at (-4, -3.5) on the Cartesian plane.
What system of equations has no solution?
A system of equations will have no solutions if the line they represent are parallel. Remember that the solution of a system of equations is physically represented by the intersection point of the two lines. If the lines don't intersect (parallel) then there can be no solution.
How do you find the point two lines intercept at given the slopes and Y-intercepts of both lines?
Solve the two equations simultaneously. The solution will be the coordinates of the point of intersection.
