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What is the point of intersection when 4y -2x equals 7 meets 5y -3x equals 6?
Wiki User
∙ 7y ago
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 = 7
- 5y - 3x = 6
- 5×(1) - 4×(2) → (20y - 20y) + (-10x - -12x) = 35 - 24 → 2x = 11
solving (3) gives x = 5.5
Substituting for y in (2) gives 5y - 3 × 5.5 = 6 → 5y = 22.5 → y = 4.5
Checking 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)
Wiki User
∙ 7y ago
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If AC equals 22 and AE equals 2x - 5 what is x?
8
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3
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What is the point of intersection of y equals 2x-x2 and y equals 0?
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What point is the intersection of the graphs of the lines 2X-Y equals 3 and X plus Y equals 3?
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Where do y equals 2x plus 4 and y equals -x plus 1 intercept?
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Where does y equals five and y equals negative two x plus three intersect?
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What is the perpendicular distance from the point 4 -2 to the straight line of 2x -y -5 equals 0?
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