9x + 3y – 6z = 18
Are you looking for X, Y and Z???
yes @BABYShawol184
Well there are many solutions. It's up to you. For example i will decide to make x =0 Therefore... \[9(0) + 3y -6z=18\] \[3y-6z=18\] Now we can choose to solve for Y or Z so I will solve for Y So... \[3y = 18+6z\] Now to isolate for Y we divide each side by 3 \[y = (18 +6z)\div3\] Now that we have Y we can insert it into the equation \[3y-6z=18\] Therefore... \[((18+6z)\div3)-6z = 8\] So when subtracting a fraction by a number we find a common denominator between the two terms usually by multiplying so in this case we will multiply 6z (which is actually over 1) by 3 then we can add it to 18 + 6z So... \[(18+6z-18z)\div3 = 18\] Now because we have one term we can solve for Z starting with 6z - 18z which is -12z So... \[(18-12z)\div3 = 18\] Now we isolate Z by muliplying each side by 3 \[18-12z = 54\] Now we subtract 18 and divide by -12 \[-12z =36\] And divide each side by -12 \[z=-3\] Now that we have Z we can put it into the equation \[3y-6z=18\] to solve for Y So... \[3y-6(-3) =18\] Now... \[3y+18=18\] So to isolate Y we subtract 18 from each side \[3y = 0\] So by the look of our equation is seems Y =0 So now we know X =0, Y = 0 and Z = -3 Plugging in our values The left side should equal the right side \[9(0) +3 (0)-6(-3) =18\] \[-6(-3) =18\] \[18 = 18\] Hope this helped ^.^
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