Add like terms to like: (2z - 20) + (3z + 5) = (2z + 3z) + (-20 + 5) = 5z - 15 2z is shorthand for z+z, 3z is shorthand for z+z+z, so: 2z + 3z = (z+z) + (z+z+z) = z+z+z+z+z = 5z Or, to put it another way, just add the coefficients: 2z + 3z = (2+3)z = 5z.
Since you say you are looking for the sum, I will assume that the equation that you should have written is 3z + 2 + z = 5.3z + 2 + z = 53z - 2 + z = 5 -23z + z = 34z = 34z/4 = 3/4z = 3/4This is very correct.you are a mathematician
If 3z/2 = 9 then the value of z is 6
3z - 5
Sue has Z. Marcia has (3Z - 84), three times as much as Sue, minus 84. Together their amounts equal 132. So, The amount Sue has plus the amount Marcia has is 132 or, Z + (3Z - 84) = 132 Then, Z + 3Z = 132 + 84 (minus 84 from one side of the expression, and add it to the other side) Z + 3Z = 216 (Z + 3Z)/Z = 216/Z (divide both sides by Z to get one Z on one side) Z/Z + 3Z/Z = 216/Z (or written like this) 1 + 3 = 216/Z 4 = 216/Z 4 x Z = (216/Z) x Z (multiply both sides by Z) 4Z = 216 4Z/4 = 216/4 (divide by 4 to isolate Z) Z = 54 So, Sue has 54, therefore if Marcia has (3Z - 84), then 3 x 54 - 84, which is 78. So, Marcia has 78 We can check that together, 54 plus 78 equals 132.
Add like terms to like: (2z - 20) + (3z + 5) = (2z + 3z) + (-20 + 5) = 5z - 15 2z is shorthand for z+z, 3z is shorthand for z+z+z, so: 2z + 3z = (z+z) + (z+z+z) = z+z+z+z+z = 5z Or, to put it another way, just add the coefficients: 2z + 3z = (2+3)z = 5z.
It's rare to see an equation with two equals signs. I'm guessing something else went in between 3z and 9. 3z + 9 = 15, then z = 2 3z - 9 = 15, then z = 8 3z x 9 = 15, then z = 5/9 3z/9 = 15, then z = 45
Since you say you are looking for the sum, I will assume that the equation that you should have written is 3z + 2 + z = 5.3z + 2 + z = 53z - 2 + z = 5 -23z + z = 34z = 34z/4 = 3/4z = 3/4This is very correct.you are a mathematician
Collect all the letters on one side and the numbers on the other; what you do to one side of the equals you do to the other: 3z + 2 = 6z - 13 → 3z +2 - 3z = 6z - 13 - 3z → 2 = 3z - 13 → 2 + 13 = 3z - 13 + 13 → 15 = 3z → 3z = 15 (this is just changing the equals around so that the letter is on the left) → 3z ÷ 3 = 15 ÷ 5 → z = 5
-47 + 6z = 3z-2-3z -3z-47 + 3z = -2+47 +473z = 45/3 /3z = 15
If 3z/2 = 9 then the value of z is 6
3z - 5
3z equals z - 24 = -21
-6z 2 = 3z+ 4z+28 -6z+2 +3z = 3z+ 4z +28 +4z -6z+4z+2 = 3z+ 28 -10z+2 -3z= 28 - 2 -10z + -3z = 26 -13z/13 = 26/-13 z = -2
15 = 3z - 6 15 + 6 = 3z 3z = 21 z = 7
Let me see:1) x + y + z = 7 y = 7 - x- z2) 2x + 3y- z = -23) -x + 3z = 36 x = 3z - 36Subst. 3) into 2):2(3z-36)+3y -z = -2Subst 1) into 3):2(3z-36) +3(7-x-z) - z = -2Subst 3) into 2) again:6z-64 + 3(7-(3z-36) - z) -z = -2z= 67/7Subst answer into 3) -x + 3(67/7) = 36x = -51/7Subst answers into 1):-51/7 + y + 67/7 = 7y = 33/7therefore x = -51/7, y = 33/7, z = 67/7
(3z + 5)(z -7)