Solve y=-7/48(10)+53.8

$$y = \frac { - 7 } { 48 } ( 10 ) + 53.8$$

Solve for y

$$y = \frac{6281}{120} = 52\frac{41}{120} \approx 52.341666667$$

Steps for Solving Linear Equation

Fraction \frac{-7}{48} can be rewritten as -\frac{7}{48} by extracting the negative sign.

$$y=-\frac{7}{48}\times 10+53.8$$

Express -\frac{7}{48}\times 10 as a single fraction.

$$y=\frac{-7\times 10}{48}+53.8$$

Multiply -7 and 10 to get -70.

$$y=\frac{-70}{48}+53.8$$

Reduce the fraction \frac{-70}{48} to lowest terms by extracting and canceling out 2.

$$y=-\frac{35}{24}+53.8$$

Convert decimal number 53.8 to fraction \frac{538}{10}. Reduce the fraction \frac{538}{10} to lowest terms by extracting and canceling out 2.

$$y=-\frac{35}{24}+\frac{269}{5}$$

Least common multiple of 24 and 5 is 120. Convert -\frac{35}{24} and \frac{269}{5} to fractions with denominator 120.

$$y=-\frac{175}{120}+\frac{6456}{120}$$

Since -\frac{175}{120} and \frac{6456}{120} have the same denominator, add them by adding their numerators.

$$y=\frac{-175+6456}{120}$$

Add -175 and 6456 to get 6281.

$$y=\frac{6281}{120}$$

Assign y

$$y≔\frac{6281}{120}$$