Solve the following pair of linear equations | vedclass

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(B) Given equations are:$1) \, 2x + 3y = 7$$2) \, 6x + 9y = 23$Check the ratio of coefficients:$\frac{a_1}{a_2} = \frac{2}{6} = \frac{1}{3}$$\frac{b_1

Vedclass · Accepted Answer

$	ext{No solution } (\varnothing)$

Vedclass · Answer

(B) Given equations are:$1) \, 2x + 3y = 7$$2) \, 6x + 9y = 23$Check the ratio of coefficients:$\frac{a_1}{a_2} = \frac{2}{6} = \frac{1}{3}$$\frac{b_1}{b_2} = \frac{3}{9} = \frac{1}{3}$$\frac{c_1}{c_2} = \frac{7}{23}$Since $\frac{a_1}{a_2} = \frac{b_1}{b_2} 
eq \frac{c_1}{c_2}$,the lines are parallel to each other.Therefore,the system of equations has no solution,denoted by $\varnothing$.

Solve the following pair of linear equations by the method of substitution: $2x + 3y = 7$ and $6x + 9y = 23$.

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