Solve the equations for $x$ and $y$ .

$2 x - 3 y = 7$

$5 x + y = 9$

3,4

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2, -1

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2,2

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3, -1

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Solution

The correct option is B
2, -1

Given

$2 x - 3 y = 7$ ...(i)

$5 x + y = 9$ ...(ii)

Rearranging (ii), we get $y = 9 - 5 x$ ...(iii)

Substituting (iii) in (i), we get

$2 x - 3 (9 - 5 x) = 7$

$\Rightarrow$ $17 x = 34$

$\Rightarrow x = 2$ .

Substituting the value of $x$ in (i), we get

$2 (2) - 3 y = 7$

$\Rightarrow y = - 1$ .

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Similar questions

Solve the equations for $x$ and $y$ .

$2 x - 3 y = 7$

$5 x + y = 9$

Solve the following pairs of linear (simultaneous) equations using method of elimination by substitution:

$2 x - 3 y = 7$

$5 x + y = 9$

2 x + 3 y = 12

x - y = 1

x

y

y = 2 x + 9

7 x + 3 y = - 51

x + y = 7

2 x - 3 y = 9

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