Question

Check (2z-7)-3(3z+8)=4z-9

Answer 1

(2z-7)-3(3z+8)=4z-9

2z -7 - 3(3z) -3(+8) = 4z - 9

2z - 7 - 9z - 24 = 4z - 9

9 -7 - 24 = 4z + 9z - 2z

-22 = 11z

-22/11 = z

-2 = z


check:-

(2z-7)-3(3z+8)=4z-9

substitute z = -2

(2(-2) - 7) - 3(3(-2) + 8) = 4(-2) - 9

(-4 - 7) - 3(-6 + 8) = -8 -9

(-11) -3(2) = -8 -9

-11 -6 = -8 -9

-17 = -17

So z = -2

Answer 2

Hey there!

Solution:

$(2z - 7 ) - 3 ( 3z + 8 ) = 4z - 9\\ \\ ( 2z - 7 ) - ( 9z + 24 ) = 4z - 9 \\ \\ ( 2z - 7 ) - 9z - 24 = 4z - 9\\ \\ 2z - 7 - 9z - 24 = 4z - 9\\ \\ 2z - 9z - 4z = -9 + 7 + 24\\ \\ 2z - 9z - 4z = - 2 + 24\\ \\ -11z = 22\\ \\ z = \frac{22}{11}\\ \\ z = - 2 \\ \\ \textbf{To check this}\\ \\ Put z = -2\\ \\( 2 (-2) - 7 ) - 3 (3 (-2) + 8) = 4 ( -2 ) + -9\\ \\ ( -4 - 7 ) - 3(-6 + 8 ) = - 8 - 9\\ \\ -11 - 3( 2 ) = -17\\ \\ -17 = -17$

#Be Brainly.