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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)
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
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))
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)
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 ?
A plane formed by the intersection of a horizontal number line called the x-axis and a vertical number line called the y-axis?
The xy or Cartesian or coordinate plane.
