The graph of the pair of equations 2x + y = 7 | vedclass

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(B) Given equations are:$1) 2x + y = 7$$2) 5x - 2y = 4$To determine the nature of the lines,we compare the coefficients of the equations $a_1x + b_1y

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intersect in one point

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(B) Given equations are:$1) 2x + y = 7$$2) 5x - 2y = 4$To determine the nature of the lines,we compare the coefficients of the equations $a_1x + b_1y = c_1$ and $a_2x + b_2y = c_2$.Here,$a_1 = 2, b_1 = 1, c_1 = 7$ and $a_2 = 5, b_2 = -2, c_2 = 4$.We calculate the ratio of the coefficients:$\frac{a_1}{a_2} = \frac{2}{5}$$\frac{b_1}{b_2} = \frac{1}{-2} = -\frac{1}{2}$Since $\frac{a_1}{a_2} 
eq \frac{b_1}{b_2}$,the lines intersect at exactly one point.Therefore,the pair of equations represents intersecting lines.

The graph of the pair of equations $2x + y = 7$ and $5x - 2y = 4$ is:

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