Question

9 y - 26 =-9/10 (x - 2)what is y

Answer 1

Here, we are interested in making y the subject of the formula;

To make a particular variable the subject of the formula, it means to rewrite the equation with the particular variable on the left hand side of the equation.

Thus;

`\begin{gathered} 9y\text{ - 26 = }(-9(x-2))/(10) \\ \\ 9y\text{ = 26 + }(-9(x-2))/(10) \\ \\ \text{Divide through by 9} \\ \\ y\text{ = }(26)/(9)\text{ - }(9(x-2))/(10(9)) \\ \\ \\ y\text{ = }\frac{26}{9\text{ }}\text{ - }((x-2))/(10) \\ \\ \\ y\text{ = }(26)/(9)\text{ + }((2-x))/(10) \\ \\ \text{The lowest common multiple of the denominators is 90} \\ \\ y\text{ = }\frac{10(26)\text{ + 9(2-x)}}{90} \\ \\ y\text{ = }\frac{260\text{ + 18 - 9x}}{90} \\ \\ y\text{ = }\frac{278\text{ -9x}}{90} \end{gathered}`