Question 1047623
Find the intersection point between the lines 2x+3Y=1 and 2y-7x=4 
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The point of intersection occurs when x & y are the same in both equations
solve by using elimination
 2x + 3y = 1
-7x + 2y = 4
multiply the 1st equation by 2, the 2nd equation by 3
4x + 6y = 2
-21x + 6y = 12
------------------Subtraction  eliminates y, find x
25x = -10
x = -10/25
x = -.4
:
Find y using the 1st equation
2(-.4) + 3y = 1
-.8 + 3y = 1
3y = 1 + .8
3y = 1.8
y = 1.8/3
y = .6
;
The point of intersection: -.4, .6
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Looks like this
{{{ graph( 300, 200, -2, 2, -2, 2, 3.5x+2,-.667x+.333) }}}