Question

Solve: 3x − 4y = 16 ; 2x − 3y = 10

Answer 1

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Answer 2

Answer:

$3x - 4y = 16$

• $x = \frac{16 + 4y}{3}$

putting above equation in the next equation,

$2x - 3y = 10$

• $2( \frac{16 + 4y}{3} ) - 3y = 10$
• $( \frac{32 + 8y}{3} ) - 3y = 10$
• $32 + 8y - 3y = 30$
• $8y - 3y = 30 - 32$
• $5y = - 2$
• $y = \frac{ - 2}{5}$

putting value of y in equation of x,

$x = \frac{16 + 4( \frac{ - 2}{5} )}{3}$

$x = \frac{(80 - 1.6) }{3}$

$x = \frac{784}{30}$

$x = 26.13$