The pair of equations 2x + y = 3 and x + 2y = | vedclass

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(A) Given the pair of linear equations:$2x + y = 3$ (Equation $1$)$x + 2y = 4$ (Equation $2$)Comparing these with the standard form $a_1x + b_1y = c_1

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consistent

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(A) Given the pair of linear equations:$2x + y = 3$ (Equation $1$)$x + 2y = 4$ (Equation $2$)Comparing these with the standard form $a_1x + b_1y = c_1$ and $a_2x + b_2y = c_2$:$a_1 = 2, b_1 = 1, c_1 = 3$$a_2 = 1, b_2 = 2, c_2 = 4$Now,find the ratios of the coefficients:$\frac{a_1}{a_2} = \frac{2}{1} = 2$$\frac{b_1}{b_2} = \frac{1}{2}$Since $\frac{a_1}{a_2} 
eq \frac{b_1}{b_2}$,the lines intersect at a unique point.Therefore,the system of equations has a unique solution and is consistent.

The pair of equations $2x + y = 3$ and $x + 2y = 4$ is:

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