Question 960352
Your two equations are correct
x +y = 12
8x + 15y = 131
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we want the coordinates of the point of intersection of the two lines, first put each line into standard notation, y = mx + b
y = -x + 12
y = -8x/15 + 131/15
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here are the two lines, first equation is red and second equation is green
{{{ graph( 300, 200, -6, 25, -10, 30, -x+12, -8x/15 + 131/15 ) }}}
point of intersection is (7, 5)
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check answer with original equations
7 + 5 = 12
12 = 12
8*7 + 15*5 = 131
56 + 75 = 131
131 = 131
our answer checks