need help on helping daughter with hands on equations 3x+7=4x help me refresh my mind asap!?
437150
The big rule to follow is that you have two quantities that are equal, and you do the same thing to both of them, what you get will be equal.\n\nSo you can add, subtract, multiply, and divide both sides of an equation by the same thing and the equation remains valid.\nNote: You can't multiply or divide by 0.\n\nThe idea is to pick what you add, subtract, etc. by so that you end up with something simpler than what you started with. You want to add and subtract things that will make pieces of the equation disappear.\n\nIn your case, if you subtract 3x from both sides to get rid of one term from the left side. You  end up with 7 = x.\n\nIf you had something like 6x + 2  = 3x + 5\n\nFirst you subtract 3x from both sides to get \n3x + 2  =  5\n\nThen you subract 2 from both sides to get\n3x = 3\n\nThen you divide both sides by 3 to get\nx = 1.\n\nThen you substitute 1 for x in the orginal equation to check you work.\n\nAgain, at each step, try to do one thing to make things simpler. Do the same thing to both side of the equation.
838764
- 7 - 4x < 13\n\n-7 - 4x + 7 < 13 + 7\n\n- 4x < 20\n\n- 4x/- 4 > 20 /- 4\n\nx > - 5\n\nThe answer is x > - 5\n\n- - - - -s-
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
920287
Use substitution.\n\n7x - 3y = 13\n\n7x - 3(2x-3) = 13\n\n7x - 6x + 9 = 13\n\nx + 9 = 13\n\nx = 4\n\nThen go back and plug in to find y\n\ny = 2x - 3\n\ny = 2(4) - 3\n\ny = 8 - 3\n\ny = 5\n\n(4,5) is the answer.
205373
1. Distribute the 4 on the left of the = sign\n   4(4x) + 4(1)\n2. Distrube the 3 on the right of the = sign\n   3(4x) - 3(5)\n3. Combine like terms and solve\n\n16x + 4 = 12x - 15\nsubtract 4 from each side, then subtract 12x from each side.  Divide each side by the number in front of x to find what x equals to.
770834
y=x+3\ny=2x-4\nfirst u need to replace the x+3 in place of y in the 2n equation to get this\nx+3=2x-4\nthen subract the x from both sides to get this\n3=x-4\nthen add 4 from both sides to get this\n7=x\nthen replace the 7 in one of the equations to get y to get this\ny=7+3\nthen you are going to get the anser like this\ny=10\nthe answer is (7,10)
260864
here is how you go about it\n3x - 6 + 3x - 4 = 17\n6x - 10 = 17\n6x = 17 + 10\n6x = 27\ntherefore,\nx = 27/6\n  = 4.5\n\nyou are right!!
117592
Multiply the 1st equation by 3\n\n3 [ 2x + y = -4]\nthat gives.. 6x + 3y = -12\n\nsubtract the 2nd equation from this\n\n6x + 3y - (-5x + 3y ) = -12 - (-1)\n\n6x + 3y + 5x - 3y = -12 + 1\n\n11x = -11\n\nx = -1\n\nput this into 1st equation\n\n2(-1) + y = -4\n\n-2 + y = -4\n\ny = -4 + 2\n\ny = -2\n\n\nx = -1 & y = -2\n\nyou can check this with 2nd equation\n\n-5(-1) + 3(-2) = -1\n+5 - 6 = -1 . hence the solution x = -1 & y = -2 is CORRECT
854860
(3x - a)(x - 2)(x - 7) = \n(3x - a)(x^2 - 7x - 2x + 14) = \n(3x - a)(x^2 - 9x + 14) = \n3x^3 - 27x^2 + 42x - ax^2 + 18ax - 14a\n3x^3 + (-27 - a)x^2 + (42 + 18a)x - 14a\n\n3x^3 - 32x^2 + 81\n\nso\n\n(-27 - a)x^2 + (42 + 18a)x - 14a = -32x^2 + 81\n(-27 + 32 - a)x^2 + (42 + 18a)x + (-14a - 81) = 0\n(5 - a)x^2 + (42 + 18a)x - (14a + 81) = 0\n(-a + 5)x^2 + (18a + 42)x - (14a + 81) = 0\n-(a - 5)x^2 + (18a + 42)x - (14a + 81) = 0\n\nx = (-b ± sqrt(b^2 - 4ac))/(2a)\n\nx = (-(18a + 42) ± sqrt((18a + 42)^2 - 4(-(a - 5)(-(14a + 81)))/(2(-(a - 5))\n\nx = (-(18a + 42) ± sqrt(((18a + 42)(18a + 42)) - 4(a - 5)(14a + 81)))/(-2(a - 5))\n\nx = (-(18a + 42) ± sqrt((324a^2 + 756a + 756a + 1764) - 4(14a^2 + 81a - 70a - 405))) / (-2(a - 5))\n\nx = (-(18a + 42) ± sqrt(324a^2 + 1512a + 1764 - 4(14a^2 + 9a - 405))) / (-2(a - 5))\n\nx = (-(18a + 42) ± sqrt(324a^2 + 1512a + 1764 - 56a^2 - 36a + 1620))) / (-2(a - 5))\n\nx = (-(18a + 42) ± sqrt(268a^2 + 1476a + 3384)) / (-2(a - 5))\n\nx = (-6(3a + 14) ± sqrt(4(67a^2 + 369a + 846)))/(-2(a - 5))\n\nx = (-6(3a + 14) ± 2sqrt(67a^2 + 369a + 846)) / (-2(a - 5))\n\nx = (3(3a + 14) ± sqrt(67a^2 + 369a + 846))/(a - 5)\n\nUnless you mistyped something, 3x^3 - 32x^2 + 81 does not factor into (3x - a)(x - 2)(x - 7)\n\n--------------------------------------------------------------------------------\n\nx^3 - x^2 + 16x - 16\n(x^3 - x^2) + (16x - 16)\nx^2(x - 1) + 16(x - 1)\n(x^2 + 16)(x - 1)\n\nif you were to take this further, then\n\n(x - 4i)(x + 4i)(x - 1)
809607
I got 4x² + 2.  It was actually pretty straightforward once you lay it out like a long division problem.\n\nTake 4x² and multiply it by 7x+3i (since the first term will give us 26x³).\n\n4x² * (7x+3i) = 28x³ + 12ix², leaving us with a remainder of 14x + 6i.\n\nNow take (7x+3i) times 2 to get 14x + 6i.\n\nTherefore your answer is 4x² + 2.\n\n~ ♥ ~
1090979
3x + 4(3x+11)=-16 substitute 2 in 1\n3x + 12x +44 = -16\n15x= -16-44\nx=  -60/5\nx= -4\n\nx= -4 substitute in 2\ny= 3(-4)+11\ny= -12+11\ny= -1
969755
Relax\n\n1)) (5x + 7) + (x - 2) = 5x + 7 + x - 2 = 5x + x + 7 - 2 = 6x + 5\n\n2)) 2 X length + 2 X height = perimeter\n\n  (2 X x) + (2 X (x - 3)) = per = 2x + (2x - 6) = cir = 2x + 2x - 6\n\n  perimeter = 4x - 6,   or 2 ( 2x - 3)\n\n3)) same as # 2;\n\n  2 X (t + 5) + 2 X 2t = 2t + 10 + 4t = 2t + 4t + 10 = 6t + 10 = per\n\n4)) (t - 5) - (3t - 1) = t - 5 - 3t + 1 = t - 3t - 5 + 1 = -2t -4\n\n  or -2 (t + 2)
825795
OK,as the first one is already done,I am doing the rest for you\n4(2x-6)=x+2 =>8x-24=x+2  =>8x-x=2+24  =>7x=26  =>x=26/3=8 2/3  (3) 2(x+5)+1=3(x-1)+4   =>2x+10+1=3x-3+4 =>2x-3x=-3+4-10-1  => -x=-4  =>x=1  (5)x+6=4(4x-1)   =>x+6=16x-4  =>x-16x=-4-6  => -15x=-10  =>x=-10/-15=2/3 [after reducing]
1056150
7 - [2(3x + 4) - 5] = x - 3\n7 - [6x + 8 - 5] = x - 3\n7 - [6x + 3] = x - 3\n7 - 6x - 3 = x - 3\n4 - 6x = x - 3\n4 - 7x = -3\n-7x = -7\nx = 1\nCheck:\n7 - [2(3*1 + 4) - 5] = 1 - 3\n7 - [(2(3+4) - 5] = -2\n7 - [2(7)-5] = -2\n7 - [14-5] = -2\n7 - 9 = -2\n-2 = -2
653372
6x - 4x -3x = 5x becomes 6x - (4x -3x) = 5x\n6x - 4x -3x=`x I'm not sure about this one.  Is it supposed to be 6x - 4x -3x = -x? then it would be (6x-4x) - 3x = -x\n7 + 5p - p = 11p becomes (7 + 5)p - p = 11p\n7 + 5p - p = 7 becomes 7 + 5(p - p) = 7\n7 + 5p - p = 7 + 4p becomes 7 + (5p - p) = 7 + 4p\nYou do not actually need parentheses for the previous one.\n7 + 5p - p = 0 I cannot figure this one out.  Is something typed wrong?
914544
4x+3/2-2x-2=3-x-4/3+2x-5        then you add everthing up\n\n2x-1/2=x-3and2/3           Sorry for the and....i didn't want it to look like 32 divided by 3....it's 3 and 2/3\nmultiply each side by 6...\n12x-3=6x-22\nThen you have to simplify \n6x=19  Divide each side by 6 to get the answer\nx=19/6\nI'm pretty sure but im not absolutly sure....
1093201
4 - 8 ( 2 (x-3) - (-2x) ) = 5 ( 9 - 2 (3x+1) ) + 7x\n4 + ( -16 (x-3) + 2x ) = ( 45 - 10 (3x+1) ) + 7x\n4 - 16x + 48 - 16x = 45 - 30x - 10 + 7x\n52 - 32x = 35 - 23x\n17 = 9x\nx = 17/9