Add 4z to each side: 19 = -z so z = -19
6z-4z-z = 6-7-4 z = -5
(z=-3) and (z=7)
(z - 9)(z + 5)
3y + 4z + 12y = 3y -3y -3y ------------------------- 4z + 12y = 0 divide everything by 4 z + 3y = 0 -3y -3y z = -3y
5x-2y+3z-2x-y-4z=3x-3y-z
9z
To evaluate ( \frac{4z}{5} ) when ( z = 15 ), substitute 15 for ( z ) in the expression. This gives you ( \frac{4 \times 15}{5} ). Calculating this, you get ( \frac{60}{5} = 12 ). Therefore, ( \frac{4z}{5} ) equals 12 when ( z ) is 15.
6z-4z-z = 6-7-4 z = -5
4z-11=45 4z=56 z=14
If the question is x + 4z - 5 - 3x when x = 2 and z = 3x, then First simplify the original statement x + 4z - 5 - 3x = 4z - 5 - 2x Secondly substitute in 3x for z 4z - 5 - 2x = 4*3x - 5 - 2x = 12x - 5 - 2x = 10x - 5 Lastly substitute 2 for the x 10x - 5 = 10*2 - 5 = 20 - 5 = 15 or x + 4z - 5 - 3x when x = 2 and z = 3x, so z = 3*2 = 6 x + 4z - 5 - 3x = 4z - 5 - 2x (replace the variables with the corresponding values) = 4*6 - 5 - 2*2 = 24 - 5 - 4 = 24 - 9 = 15
7 + 4z = 437 + 4z -7 = 43 - 7 4z = 43 - 7 4z = 36 z = 9
(z=-3) and (z=7)
4z - 1 = 9 4z = 10 (add 1 to both sides) z = 2.5 (divide both sides by 4)
4z means to multiply a number with another number.
(z - 9)(z + 5)
3y + 4z + 12y = 3y -3y -3y ------------------------- 4z + 12y = 0 divide everything by 4 z + 3y = 0 -3y -3y z = -3y
To simplify the expression (4z - z + z + 1 + 1 + 2z), first combine the like terms. The (z) terms are (4z - z + z + 2z), which simplifies to (6z). The constant terms are (1 + 1), which equals (2). Therefore, the simplified expression is (6z + 2).