The pair of equations 5x - y = 9 and 10x - 18 | vedclass

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Question

(B) Given equations are:$5x - y = 9$  ---$(1)$$10x - 2y = 18$ ---$(2)$Divide equation $(2)$ by $2$:$5x - y = 9$ ---$(3)$Comparing equation $(1)$ and e

Vedclass · Accepted Answer

consistent

Vedclass · Answer

(B) Given equations are:$5x - y = 9$  ---$(1)$$10x - 2y = 18$ ---$(2)$Divide equation $(2)$ by $2$:$5x - y = 9$ ---$(3)$Comparing equation $(1)$ and equation $(3)$,we see that both equations are identical.For a pair of linear equations $a_1x + b_1y + c_1 = 0$ and $a_2x + b_2y + c_2 = 0$,if $\frac{a_1}{a_2} = \frac{b_1}{b_2} = \frac{c_1}{c_2}$,the equations are coincident and have infinitely many solutions.Since the equations are identical,they represent the same line,meaning they are consistent and have infinitely many solutions.

The pair of equations $5x - y = 9$ and $10x - 18 = 2y$ is $\ldots \ldots \ldots \ldots$

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