Question

Solve the system by elimination. 8x+3y=4 2x+y=2​

Answer 1

x = -1

y = 4

Explanation:

Solving system of linear equations by elimination method.

8x + 3y = 4 ---------------(I)

2x + y = 2 --------------(II)

Multiply the second equation by (-3) and then add them.Thus y will be eliminated and we will obtain the value of 'x'.

(I) 8x + 3y = 4

(II)*(-3) -6x - 3y = -6 {Now add}

2x = -2

x = -2/2

`\sf \boxed{\bf x = -1}`

Plugin x = (-1) in any one of the equations. Here I have chosen equation (II)

2*(-1) + y = 2

-2 + y = 2

y = 2 + 2

`\sf \boxed{\bf y = 4}`