hi, I got this math question i have homework and i cant figure it out can someone help me?? There it is word for word. thanks Solve the following System of Equations x- 2y + Z =8 x- 3y - z =0 2x - 6y + z =6 All the x`s,y`s and z`s have to be the same. thanks
Time's the x's together, than time's the y's together than time'sthe z's together than times the answer's together and you get this (I think): 2x - 36y + z = 48 So y obviously equals 1 I think Solve the rest. Corrrect me if i'm wrong
Baldbear is right but I thought that I'd explain it. [bold] Quote All the x`s,y`s and z`s have to be the same.[/bold] I assume this means that they are all integers. Eqn 1: X - 2Y + Z = 8 Eqn 2: X - 3Y - Z = 0 Eqn 3: 2X - 6Y + Z = 6 I have replaced common 'x' with capital 'X' so that it's not confused with the multiply sign. Y & Z were also placed in capitals since X was placed in caps. Taking eqn 2: X - 3Y = Z Call this [bold]Eqn 4: ie Z = X - 3Y[/bold] Now Substitute eqn 4 into eqn 1: So: X - 2Y + (X - 3Y) = 8 Therefore 2X - 5Y = 8 So 2X = 8 + 5Y Therefore X= (8 + 5Y)/2 Call this [bold]eqn 6: X = (8 + 5Y)/2[/bold] Now subsitute eqns 4 & 6 into eqn 3 So 2 x (8 + 5Y)/2 -6Y + (8 + 5Y)/2 -3Y = 6 Therefore 8 + 5Y - 6Y - 3Y + (8 + 5Y)/2 = 6 Leads to 8 - 4Y + 4 + 5Y/2 = 6 So -4Y + 5Y/2 = -6 So (-8Y + 5Y)/2 = -6 Therefore -8Y + 5Y = -12 Hence -3Y = -12 So [bold]Y = 4[/bold] Now substitute Y into eqn 6: So X = (8 + 20)/2 So [bold]X = 14[/bold] Now substitute X & Y into eqn 4 So Z = 14 - 12 [bold]Z = 2[/bold] It's the long and arduous way to calculate these "simple equations" but hopefully you now see how we arrive at the answers.
wait a second guys..your forgetting the first rule u must allways include the universal gravitaion! so if we state that y = y must you do this and x= the price of tea in china(360 yen/ounce) then z must= the amount of frictional force of the pen writeing on the paper to find z you must use the formula Ffriction=Fnet-Fapplied Fnet= univeral gravitaional contstans(G)*mass1(m1)*mass2(m2)/distance(d) squared! hence 6.67*10to the 7th*mass of pen*mass of paper/distance you move pen over paper squared shall give u Fnet to find Fapplied grab a pointy rusty fish scale, close ur eyes and put with a sharp jerk to find how much force can apply now put this all into a kinematics formula such as velocity final squared=velocity initial squared + 2*acceleration*distance once youve done this..go jump off bridge bc you have now wasted your time, will fail math, drop out of school and end up working as a john to suppost your crack habbits and several child suppost cases! HAVE FUN! (ps droogie01 waivers all resonsabilty for actions take due to this forum, be advised , contact a physican before jumping off bridge)
Really now Droogie!, I think you need to be X'd. 'Y' you ask?,..............so the rest of us can get some Z's, lol. j/k
