Question

For solving each pair of equations, in this exercise, use the method of elimination by equating coefficients: 1. 3-(x-5)=y+2 , 2(X+y)=4-3y
please tell me quickly​

Answer 1

Answer:

x = 26/3 , y = -8/3

Step-by-step explanation:

First equation

3 - (x - 5) = y + 2 ⇒ 3 - x + 5 = y + 2

⇒ x + y = 6                     eq(3)

Second equation

2(x+y) = 4 - 3y ⇒ 2x + 2y = 4 - 3y

⇒ 2x + 5y = 4                         eq(4)

eq(3) × 2, 2x + 2y = 12

eq(4)      , 2x + 5y = 4

eq(3) - eq(4)

⇒ -3y = 8

⇒ y = -8/3

from equation (3)

x - 8/3 = 6

x = (18 + 8)/3

x = 26/3