Question 250271
2x+3y=7
3y=-2x+7
y=-2x/3+7/3 (red line)
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3x+4y=10
4y=-3x+10
y=-3x/4+10/4
y=-3x/4+2.5 (green line)
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{{{ graph( 300, 200, -6, 5, -6, 5, -2x/3 +7/3, -3x/4 +2.5) }}} (graph 300x200 pixels, x from -6 to 5, y from -6 to 5, of TWO functions -2x/3 +7/3 and -3x/4 +2.5 ). 
y=-2x/3+7/3
-(y=-3x/4+2.5) subtract
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0=-2x/3+3x/4+7/3-2.5
0=(-2x*4+3x*3+7*4)/3*4-2.5
0=(-8x+9x+28)/12-2.5
0=(x+28)/12-2.5
(x+28)/12=2.5
x+28=12*2.5
x+28=30
x=30-28
x=2 ans.
y=-2*2/3+7/3
y=-4/3+7/3
y=3/3=1 ans.
Intercept (2,1)