Solve the equations for x and y . 2 x − 3 y = 7 5 x + y = 9 Options: A . &nbsp3,4 B . &nbsp2, -1 C . &nbsp2,2 D . &nbsp3, -1

Solve the equations for x and y. 2x−3y=7 5x+y=9

Question

Solve the equations for

x

and

y

2 x - 3 y = 7

5 x + y = 9

Options:

A . 3,4

B . 2, -1

C . 2,2

D . 3, -1

Answer: Option B
:
B
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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