Question

In the system of equations below, I want to eliminate the variable y.

Answer 1

Answer:

(x,y)=(-1,1)

Step-by-step explanation:

Given that,

3x + 5y = 2   .....(1)

6x - 10y = -16  ....(2)

Finding the value of x from equation (1).

$x=\dfrac{2-5y}{3}$

Put the value of x in equation (2)

$6(\dfrac{2-5y}{3}) - 10y = -16\\\\2(2-5y)-10y=-16\\\\4-10y-10y=-16\\\\-20y=-16-4\\\\y=1$

Put the value of y in equation (1) :

$3x + 5(1) = 2\\\\3x=2-5\\\\3x=-3\\\\x=-1$

So, the solution of the equations is (-1,1).