The intersection is (-2, 6)
When x = -2 then y = 4 which is the common point of intersection of the two equations.
If: y = 5x^2 -2x+1 and y = 6-3x-x^2 Then: 5x^2 -2x+1 = 6-3x-x^2 Transposing terms: 6x^2 +x -5 = 0 Factorizing the above: (6x-5)(x+1) = 0 meaning x = 5/6 or x = -1 By substituting the values of x into original equations points of intersection are at (-1, 8) and (5/6, 101/36)
Solving the simultaneous equations works out as x = -2 and y = -2 So the lines intersect at: (-2, -2)
x,y = 5,6 or x = 5 and y = 6
The intersection is (-2, 6)
x = 5 x-2y = 6 => x = 6+2y 6+2y = 5 2y = 5-6 2y = -1 y = -1/2 and x = 5 Point of intersection: (5, -1/2)
When x = -2 then y = 4 which is the common point of intersection of the two equations.
2X-Y=3 X+Y=3 ---------- 3X = 6 X=2 2(2)-Y=3 4-Y=3 Y=1 Point of interesection: (2,1).
The point of intersection is when a set value of x and y works in both equations - this is a set of simultaneous equations to solve:4y - 2x = 75y - 3x = 65×(1) - 4×(2) → (20y - 20y) + (-10x - -12x) = 35 - 24 → 2x = 11solving (3) gives x = 5.5Substituting for y in (2) gives 5y - 3 × 5.5 = 6 → 5y = 22.5 → y = 4.5Checking by substituting for y and x in (1) gives 4×4.5 - 2×5.5 = 18 - 11 = 7 as required→ the point of intersection of 4y - 2x = 7 and 5y - 3x = 6 is (5.5, 4.5)
If: y = 5x^2 -2x+1 and y = 6-3x-x^2 Then: 5x^2 -2x+1 = 6-3x-x^2 Transposing terms: 6x^2 +x -5 = 0 Factorizing the above: (6x-5)(x+1) = 0 meaning x = 5/6 or x = -1 By substituting the values of x into original equations points of intersection are at (-1, 8) and (5/6, 101/36)
Solving the simultaneous equations works out as x = -2 and y = -2 So the lines intersect at: (-2, -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.
x,y = 5,6 or x = 5 and y = 6
If: y = 5x^2 -2x +1 and y = 6 -3x -x^2 Then: 5x^2 -2x +1 = 6 -3x -x^2 Transposing terms: 6x^2 +x -5 = 0 Factorizing the above: (6x -5)(x +1) = 0 meaning x = 5/6 or x = -1 By substitution points of intersection are at: (5/6, 101/36) and (-1, 8)
What is the answer for 1+what equals 6
x = 1 and y = 6 so the lines intersect at the point (1, 6)