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X-intercept of 3x 3y-18?
6
Solve this system of equations 5x plus 3y plus z equals -29 x-3y plus 2z equals 23 14x-2y plus 3z equals -18?
Solve this system of equations. 5x+3y+z=-29 x-3y+2z=23 14x-2y+3z=-18 Write the solution as an ordered triple.
Difference between addition elimination and substitution?
if you have one equation that gives you x or y use substitution x+3y=18 x= 18-3y substitute (18-3y) for x in the other equation if you have coefficients that will not 'reduce' use elimination 2x+3y= -3 5x-4y=9 watch for equations that will reduce 2x+4y= -8 divide through by 2 x+2y= -4 x= -4-2y
3y plus 4z plus 12y equals 3y?
3y + 4z + 12y = 3y -3y -3y ------------------------- 4z + 12y = 0 divide everything by 4 z + 3y = 0 -3y -3y z = -3y
What is the point that passes through -7x plus y equals -20 and 9x-3y equals 36?
you begin with -7x+y=-20 and 9x-3y=36 7x-7x+y=-20+7x (add 7x to both sides) y=7x-20 (simplify) 9x-9x-3y=36-9x (subtract 9x from both sides) -3y/-3=36/-3-9x/-3 (divide both sides by -3) y=3x-12 (simplify) y=y so 7x-20=3x-12 7x+20-20=3x-12+20 (add 20 to both sides) 7x=3x+8 (simplify) 7x-3x=3x-3x+8 (add 3x to both sides) 4x=8 (simplify) 4x/4=8/4 (divide by 4 on both sides) x=2 (simplify) 9(2)-3y=36 (plug in 2 for x) 18-3y=36 (simplify) 18-18-3y=36-18 (subtract 18 from both sides) -3y=18 (simplify) -3y/-3=18/-3 (divide by -3 on both sides) y=-6 (simplify) the point is 2,-6 (x,y)
