Question

solve:4x-3y=16;6x+5y=62​

Answer 1

Answer:

x = 7

y = 4

Step-by-step explanation:

(4x - 3y = 16) × 5 ------ (i)

20x - 15y = 80 ------ (ii)

(6x + 5y = 62) × 3  ------- (iii)

18x + 15y = 186 ------- (iv)

Using Elimination method,

Add (ii) and (iv)

$20x - 15y + 18x + 15y = 80 + 186$

$38x = 266$

$x=\frac{266}{38} \\\\x=7$

$20x - 15y = 80$

$20(7) - 15y = 80$

$140 - 15y = 80$

$15y = 140 - 80$

$15y = 60$

$y=\frac{60}{15}$

$y=4$

Answer 2

ANSWER

In this case, the coefficient of x are 4 and 6, thinking of the common multiple of the 4 and 6 comes out to be 12, hence multiplying 4x – 3y = 16 by 3 and 6x + 5y = 62 by 2 makes the coefficient of x as 12 and then subtracting both the equations to eliminate x.