solve the system by elimination. -5x - 7y =28, -3x - 3y = 12?
966998
3(-5x - 7y =28)  Multiply the first equation by 3.\n  -5(-3x - 3y = 12) Multiply the second equation by -5.\n\nYour new equations are:\n-15x - 21y = 84\n15x +15y = -60\n\nAdd them together, and you get\n-6y = 24\n\nSolve for y\n-6y = 24\n---      ----\n-6       -6\ny= -4\n\nInput that value into any equation:\n-3x - 3y = 12\n-3x - 3(-4) = 12\n\nSolve for x:\n-3x + 12 = 12\n-3x = 0\n---     ---\n-3      -3\nx = 0\n\nAnswers: (0, -4) or x=0 y=-4
932079
7P = (14x + 21y - 14)A + (21x + 14y + 35)B\n3Q = (-3x + 12y - 6)A + (9x - 12y + 21)B\nAs they are equal, then the coeficients of each A and B are equal:\n14x+21y-14 = 21x+14y+35    and\n3x+12y-6 = 9x-12y+21\nwhich gives you two equations in two unknowns.  The rest is easy.
851375
first subtract 2x from both sides to get:\n\n-7=3x+7  \n\nthen add 7 to both sides to get:\n-14=3x\nx=-14/3 or -4 2/3
731670
(-4x3 + 3x2 - 5) + (x2 - 5x + 6) =\n-4x3 + 3x2 - 5 + x2 - 5x + 6 =\n-4x3 + 4x2 - 5x + 1
740076
First solve for y.\n3x - 5y = 7\nSubtract 3x from each side\n-5y = -3x + 7\nDivide everything by -5\ny = (3/5)x - 7/5\nThe slope is m = 3/5\nSInce the new line is parallel to the given line, that means the slope will be the same.  Use your given point to find the  line\ny - (-7) = (3/5)(x-6)\ny + 7 = (3/5)x - 18/5\ny = (3/5)x - 18/5 - 7\ny = (3/5)x - 53/5
1061869
5y+2x=-4--------(1)\ny=3x-7-----------(2)\nSubstitute the value of y from (2) into (1), we get\n5(3x-7)+2x=4\n15x-35+2x=4\n17x-35=4\n17x=39\nx=39/17\nnow, y=3(39/17)-7=-2/17
796486
a)\n4x + 4y = -12\n-2x + 3y = 14\n\nDouble the second equation and add:\n4x + 4y = -12\n-4x + 6y = 28\n10y = 16\ny = 16/10\ny = 8/5\n\nThen solve for x:\nx + (8/5) = -3\nx = -3 - 8/5\nx = -4 3/5\n\nb) \n3x + 2y = 5\n2x - 3y = 3\n\nMultiply the top by 2 and the bottom by 3, then subtract:\n6x + 4y = 10\n6x - 9y = 9\n13y = 1\ny = 1/13\n\nThen solve for x:\n3x + 2(1/13) = 5\n3x + 2/13 = 5\n3x = 63/13\nx = 21/13\nx = 1 8/13
261684
5x-2y =7\n5x = 7+2y\n x = (7+2y)/5 -- substitute into\n-16-2x+y =7\n-16 -2(7+2y/5)+y = 7\n-16 -14-4y/5 +y = 7\n-16(5) -14-4y +y(5) = 7(5)\n-80 -14 -4y +5y = 35\ny = 35+80+14\n  = 129\n\nsubsitute y=129 into 5x-2y =7,\n5x -2(129) = 7\n5x -258 = 7\n5x =265\nx = 265/5\n  =53\n\nThus,x= 53; y=129
191645
3x+y=5 ----(1)\nx-2y=11----(2)\n\nfrom eqn (1)\ny=5-3x-----(3)\nNow substituting value of y in eqn (2) we get \nx-2(5-3x)=11\n7x-10=11\n7x=21\ntherfore x=3\nNow substituting value of x in eqn (3) we get \ny=5-3(3)\ntherefore y=-4\n\nX=3,Y=-4
762880
5 + 4 - 7 = 4x + 3 - x\n 9 - 7 = 3x + 3\n2 = 3x + 3\n2 - 3 = 3x + 3 - 3\n -1 = 3x\n-1/3 = 3x/3\n-1/3 = x
753426
X2   5x - 4y = 1\n10x -8y =2\n-10x + 8y = -3\n-------------------------\n  0=-1                NO SOLUTION
818056
3x - 5y = 7\n5y = 3x - 7\ny = (3/5)x -7/5\nA line parallel to it is y = (3/5)x + b\n(6 , -7) on it, so -7 = (3/5)*6 + b\n-35 = 18 + 5b\n5b = -53 and b = -53/5\nThe wished line is y = (3/5)x - 53/5 or\n5y = 3x -53\n\nTh
850894
2x-3y=5 ….multiply by 1\n                           x+2y=-l .... multiply by -2\n\n                                       2x-3y=5 \n                                      -2x-4y=2 …..add two equations\n                                      ------------\n                                        -7y= 7\n                                          y=-1\n\n substitute y=-1 in the second equation coz it is easier in order to get the x value\n\nx+2y=-1\nx-2=-1\nx=1\n\nSo the solution is (1,-1)
232592
2x = 3y - 4y + 5 - 2\n2x = -y + 3\n2x + y = 3
450302
3y+2x=12\n2x=-3y+12\nx= -3/2y+6\nx=-3/2(x-1)+6\n =-3/2x-(-3/2)+6\n = -3/2x+15/2\n5/2x=15/2\nx= 3\n\ny= -3/2y+6-1\n5/2y= 5\ny= 2
870236
Let's use elimination.\nMultiply the first equation by 4 and multiply the second equation by 3, and then add them.\n8x - 12y = -4\n9x + 12y = 24\n17x = 20\nx = 20/17\nTo find y, just replace x with 20/17 in one of the equations and solve for y.\n2(20/17) - 3y = -1\n40/17 - 3y = -1\n-3y = -1 - 40/17\n-3y = -17/17 - 40/17\n-3y = -57/17\nMultiply both sides by -1/3\ny = (-57/17)(-1/3)\ny = 19/17\nAnswer: x = 20/17 and y = 19/17 \nor you could write it as (20/17, 19/17)
1008519
Solve the first one for x:  x = 3\nSolve the second one for y:\n7x - 5y = 8\n7(3) - 5y = 8\n21 - 5y = 8\n-5y = -13\ny = 13/5\n\nCheck it:\n3-3 = 0 ---> OK\n7(3) - 5(13/5) = 21 - 13 = 8 --->OK\n\nDone.  Hope this helps!