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Linear Equations in One Variable

Short Answer Type

91.

Solve the following linear equation:

$x over 2 minus 1 fifth equals x over 3 plus 1 fourth$

106 Views

92.

Solve the following linear equation:

$straight n over 2 minus fraction numerator 3 straight n over denominator 4 end fraction plus fraction numerator 5 straight n over denominator 6 end fraction equals 21$

108 Views

93.

Solve the following linear equation:

$straight x plus 7 minus fraction numerator 8 straight x over denominator 3 end fraction equals 17 over 6 minus fraction numerator 5 straight x over denominator 2 end fraction$

120 Views

94.

Solve the following linear equation:

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252 Views

95.

Solve the following linear equation:

$fraction numerator 3 t minus 2 over denominator 4 end fraction minus fraction numerator 2 t plus 3 over denominator 3 end fraction equals 2 over 3 minus t$

140 Views

96.

Solve the following linear equation:

$m minus fraction numerator m minus 1 over denominator 2 end fraction equals 1 minus fraction numerator m minus 2 over denominator 3 end fraction$

177 Views

97.

Simplify and solve the following linear equation:

3(t-3) = 5(2t+1)

281 Views

98.

Simplify and solve the following linear equation:

15(y-4) - 2(y-9) + 5(y+6) =0

322 Views

99.
Simplify and solve the following linear equation:

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

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)