Question

4x -3y =16:6x +5y =62​

Answer 1

$Given \: pair \: of \: equations :$

$4x - 3y = 16 \: --(1)$

$and \: 6x + 5y = 62 \: ---(2)$

$Equation (1) \times 5 : 20x - 15y = 80 \:--(3)$

$Equation (2) \times 3 : 18x + 15y = 186 \:--(4)$

/* Add Equations (3) and (4) , we get */

$\implies 38x = 266$

$\implies x = \frac{266 }{38}$

$\implies x = 7$

/* Put x = 7 in equation (2), We get */

$6\times 7 + 5y = 62$

$\implies 42 + 5y = 62$

$\implies 5y = 62 - 42$

$\implies 5y = 20$

$\implies y = \frac{20}{5}$

$\implies y = 4$

Therefore.,

$\green { x = 7 \: and \: y = 4 }$

•••♪

Answer 2

Answer:

⇢ y = 4, x = 7

Step-by-step explanation:

⇢ 4x - 3y = 16, 6x + 5y = 62

⇢ 4x - 3y + 3y = 16 + 3y

⇢ 4x = 3y + 16

⇢ 4x/4 = 3y + 16/4

⇢ x = 3/4 y + 4

⇢ 6x + 5y = 62

⇢ 6(3/4y + 4) + 5y = 62

⇢ 19/2 y = 38

⇢ 19/2y /19/2 = 38/19/2

⇢ y = 4

ㅤ

⇢ x = 3/4 y + 4

⇢ x = 3/4 (4 + 4)

⇢ x = 7

Therefore, this is the required answer.