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What is the point of intersection when the line 2x -3y plus 5 equals 0 crosses the line 4x plus 5y -1 equals 0 on the Cartesian plane?
You have two simultaneous equations; solve them:
- 2x - 3y + 5 = 0→ 2x - 3y = -5
- 4x + 5y - 1 = 0 → 4x + 5y = 1
As in the second equation the x coefficient is twice that in the first equation, subtract twice the first equation from the second and solve for y; {2}-2×{1}:
(4x - 2×2x) + (5y - 2×-3y) = 1 - 2×-5
→ (4x - 4x) + (5y - -6y) = 1 - -10
→ 5y + 6y = 1 + 10
→ 11y = 11
→ y = 1
Now substitute back into one of the equations (say {2}):
4x + 5y = 1
→ 4x + 5×1 = 1
→ 4x = 1 - 5 = -4
→ x = -1
Now substitute the values for x and y back into the other equation ({1}) as a check:
2x - 3y = 2×-1 - 3×1 = -2 - 3 = -5 as required.
Thus the lines intersect at the point (-1, 1).
What else can I help you with?
What are the points of intersection of 3x -2y -1 equals 0 with 3x squared -2y squared equals -5 on the Cartesian plane?
Points of intersection work out as: (3, 4) and (-1, -2)
What is formed by the intersection of a line and a plane if the line does not lie in the plane?
When a line intersects a plane and does not lie in the plane, the intersection forms a single point. This point is where the line crosses the plane. If the line is parallel to the plane, however, there will be no intersection point.
Where the line crosses the x-axis?
On the Cartesian plane the y axis crosses the x axis at the point of origin which is at (0, 0)
What is a plane formed by the intersection of a horizontal number line called the x axis and a vertical number line called the y axis?
Cartesian plane
Is a cartesian plane the same as a cartesian coordinate?
The cartesian coordinates are plotted on the cartesian plane
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 is the point of intersection of the cartesian plane?
origin
What are the points of intersection of 3x -2y -1 equals 0 with 3x squared -2y squared equals -5 on the Cartesian plane?
Points of intersection work out as: (3, 4) and (-1, -2)
What is formed by the intersection of a line and a plane if the line does not lie in the plane?
When a line intersects a plane and does not lie in the plane, the intersection forms a single point. This point is where the line crosses the plane. If the line is parallel to the plane, however, there will be no intersection point.
Where the line crosses the x-axis?
On the Cartesian plane the y axis crosses the x axis at the point of origin which is at (0, 0)
When x equals 10 y equals 13?
This is a point on the cartesian coordinate plane... (10,13)
This is one of four sections formed by the intersection of the x-axis and y-axis on a Cartesian coordinate plane?
Quadrant.
What is the intersection of th x and y axes?
It is at the origin whose coordinates are at (0, 0) on the Cartesian plane
What is a plane formed by the intersection of a horizontal number line called the x axis and a vertical number line called the y axis?
Cartesian plane
Is a cartesian plane the same as a cartesian coordinate?
The cartesian coordinates are plotted on the cartesian plane
Where are the points of contact when the line 2x plus 5 equals 4 crosses the curve y squared equals x plus 4 on the Cartesian plane?
The two solutions are (x, y) = (-0.5, -sqrt(3.5)) and (-0.5, sqrt(3.5))
Parts of cartesian plane?
what are the parts of the Cartesian plane ?
