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Substitutiony=3x+2 plug in for y7x-4y=7 7x-4(3x+2)=7 distribute the 4 7x-12x-8=7 simplify-5x-8=7-5x=15 x=-3 plug in -3 to 1st equation y=3(-3)+2y=-9+2y=-7(-3,-7)
Elimination3x+4y=102x-4y=14 cancel out the variable with one positive and one negative and add down for the other5x=24 plug in answer and find the other value {3x+4y=10 (2){2x-2y=5 multiply by whatever you have to to get the positive and negative term alike but do it to 3x+4y=104x-4y=10
y=3/2x+1 1 is the y intercept, graph itrise over run with 3/2 start at the y point go up 3 and over 2y=-x+6 6 is the y intercept, graph it-1x is the slope put it over 1 if it's not a fractionwhere both lines intersect the ordered pair is the answer
independent- intersecting lines with one solution dependent- coinciding lines infinite solutions inconsistent- parallel lines no solution without graphingif they have same slopes different y-intercepts= parallel lines
Substitution
Elimination
Graphing
classifying
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