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By Simultaneous Equations. Assuming you mean

5x + 3y + 20 = 0

2x - y - 14 = 0.

We will eliminate 'y' by multiplying the bottom eq'n by '3' and then adding.

Hence

5x + 3y + 20 = 0

6x - 3y -42 = 0

Add

11x -22 = 0

11x = 22

x = 22/11

x = 2

when x= 2

2(2) - y - 14 =0

4 - y - 14 = 0

-y - 10 = 0

y = -10

So the point of intersection in ( x.y.) form is ( 2, -10).

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lenpollock

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I presume that you mean 5x + 3y + 20 = 0 and 2x - y - 14 = 0.

First put the formulae in the form y = mx + c.

3y = -5x -20

y = -5/3 x -20/3

and

y = -2x + 14

Substitute the second formula into the first

-2x - 14 = -5/3 x -20/3

-6x - 42 = -5x - 20

-42 = x - 20

x = -22

Substitute into equation

y = -2x + 14

y = -2 x -22 + 14

y = 44 + 14

y = 58

Therefore the two lines meet at point (-22, 58).

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12y ago
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Q: Where do the lines 5x 3y 20 and 2x - y -14 intersect?
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