For solving each pair of equations, use the method of eliminations by equating coefficients:

$13 + 2 y = 9 x$

$3 y = 7 x$

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Solution

13+2y=9x
9x-2y=13------------eq.1
3y=7x
7x-3y=0-----------eq.2

Solving both the equation,

Eq. 1 $\times$ 3 ➡27x - 6y=39
Eq. 2 $\times$ 2 ➡14x - 6y =0
----------------------
13x = 39
x=3

Substituting the value of x in equation 2,

7x-3y=0
7 $\times$ 3-3y=0
-3y=-21
y=7

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