Question

consider the equations shown: ax+by=ab & 2ax+3by=3b which of these is the value of y in terms of a?

Answer 1

$\textbf{Given:}$

$a\,x+b\,y=ab$

$2a\,x+3b\,y=3b$

$\textbf{To find:}$

$\text{ y in terms of 'a'}$

$\textbf{Solution:}$

$\text{Consider,}$

$a\,x+b\,y=ab$........(1)

$2a\,x+3b\,y=3b$......(2)

$(1){\times}2\implies\,2a\,x+2b\,y=2ab$

$(1){\times}1\implies\,2a\,x+3b\,y=3b$

$\text{Subtracting,}$

$-b\,y=2ab-3\,b$

$-b\,y=(2a-3)b$

$-y=2a-3$

$\implies\bf\;y=3-2a$

$\textbf{Answer:}$

$\textbf{The value of y is 3-2a}$

Find more:

1.Solve each of the following systems of equations by the method of cross-multiplication:

ax + by = a²

bx + ay = b²

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2.Solve each of the following systems of equations by the method of cross-multiplication:

(x/a) + (y/b) = a + b

(x/a²) + (y/b²) = 2

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