Question 207050
Solve for y:
a. {{{(y-1)/(x+3) = 3/4}}} Multiply both sides by (x+3), as you have done!
{{{y-1 = (3/4)*(x+3)}}} Now add 1 to both sides.
{{{y = (3/4)*(x+3)+1}}} This can be simplified to:
{{{y = ((3x+9)/4)+1}}} or, if you multiply the second term on the right side by {{{4/4}}} and then add the two fractions, you get...
{{{y = (3x+9+4)/4}}} or...
{{{highlight(y = (3x+13)/4)}}}
b. {{{(y-h)/(x+k) = a}}} Multiply both sides by {{{(x+k)}}}
{{{y-h = a(x+k)}}} Now add h to both sides.
{{{y = a(x+k)+h}}} Which simplifies to...
{{{y = highlight(ax+ak+h)}}}