Linear Equations In One Variable

Question

Simplify and solve the following linear equation:

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

Solution

3(5z - 7) - 2(9z - 11) = 4(8z - 13) - 17
Opening the brackets, we have
             15z - 21 - 18z + 22 = 32z -52 - 17
Collecting the like terms on both sides,
          (15-18)z + (-21 + 22) = 32z + (-52 -17)
or                       -3z + 1 = 32z -69
Transposing 1 to RHS and 32z to LHS, we have
                         -3z - 32z = -69 - 1
or                            -35z = -70
or                             $straight z equals fraction numerator negative 70 over denominator negative 35 end fraction equals 2$        (Dividing both sides by -35)

∴ z = 2

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Linear Equations In One Variable

Simplify and solve the following linear equation:

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

Some More Questions From Linear Equations in One Variable Chapter

Solve the following equation:

6 = z + 2

Mock Test Series

NCERT Sample Papers

Entrance Exams Preparation

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For Daily Free Study Material Join wiredfaculty

Linear Equations In One Variable

Simplify and solve the following linear equation:3(5z - 7) - 2(9z - 11) = 4(8z - 13) - 17

Some More Questions From Linear Equations in One Variable Chapter

Solve the following equation:6 = z + 2

Mock Test Series

NCERT Sample Papers

Entrance Exams Preparation

Simplify and solve the following linear equation:

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

Solve the following equation:

6 = z + 2