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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

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

Opening the brackets, we have

15y -60 - 2y + 18 + 5y + 30 =0

Collecting the like terms,

(15-2+5)y + (-60 + 18 +30) =0

or                     18y + (-12) =0

Transposing (-12) to RHS, we have

                                18y = 12

or                                  $straight y equals 12 over 18 equals 2 over 3$ (Dividing both sides by 18)