Question

linear equations.
3(5z-7) - 2(9z-11) = 4(8z-13) - 17​

Answer 1

Step-by-step explanation:

Given:-

3(5z-7) - 2(9z-11) = 4(8z-13) - 17

To find:-

Solve 3(5z-7) - 2(9z-11) = 4(8z-13) - 17

Solution:-

Given equation is 3(5z-7) - 2(9z-11) = 4(8z-13) - 17

=>(15z-21 ) -(18z-22) = (32z-52) -17

=>15z-21-18z+22 = 32z-52-17

=>(15z-18z) + (-21+22) = 32z-69

=>(-3z)+(1) = 32z-69

=>-3z+1 = 32z-69

=>1+69 = 32z+3z

=>70 = 35z

=>35z = 70

=>z = 70/35

=>z = 2

Therefore,z =2

Answer:-

The value of z = 2

The solution of the given equation

3(5z-7) - 2(9z-11) = 4(8z-13) - 17 is 2

Check:-

If z = 2 then LHS: 3(5z-7) - 2(9z-11)

=>3(5×2-7)-2(9×2-11)

=>3(10-7)-2(18-11)

=>3(3)-2(7)

=>9-14

=>-5

LHS=-5

RHS: 4(8z-13) - 17

=>4(8×2-13)-17

=>4(16-13)-17

=>4(3)-17

=>12-17

=>-5

RHS=-5

LHS = RHS is true for z= 2