Solve |2x- 3/4 |=5 6/7

Question

Solve the equation

x_{1} = - \frac{143}{56}, x_{2} = \frac{185}{56}

Alternative Form

x_{1} = - 2.553 \dot{5} 7142 \dot{8}, x_{2} = 3.303 \dot{5} 7142 \dot{8}

Evaluate

2 x - \frac{3}{4} = 5 \frac{6}{7}

Covert the mixed number to an improper fraction

More Steps

2 x - \frac{3}{4} = \frac{41}{7}

Separate the equation into 2 possible cases

2 x - \frac{3}{4} = \frac{41}{7} 2 x - \frac{3}{4} = - \frac{41}{7}

Solve the equation for x

More Steps

x = \frac{185}{56} 2 x - \frac{3}{4} = - \frac{41}{7}

Solve the equation for x

More Steps

x = \frac{185}{56} x = - \frac{143}{56}

Solution

x_{1} = - \frac{143}{56}, x_{2} = \frac{185}{56}

Alternative Form

x_{1} = - 2.553 \dot{5} 7142 \dot{8}, x_{2} = 3.303 \dot{5} 7142 \dot{8}

Show Solution