Question

Solving systems of equations y=-3x+4 and x=2y+6

Answer 1

Therefore x=2 and y=-2

Explanation:

Given system of equations are

y= -3x+4

⇔3x+y=4 .........(1)

x= 2y+6

⇔x-2y=6...........(2)

Equation (1) ×2 +equation (2)

6x +2y+x-2y =8+6

⇔7x=14

`\Leftrightarrow x= (14)/(7)`

⇔x = 2

Putting the value of x in equation (1)

3.2+y=4

⇔y+6=4

⇔y=4-6

⇔y=-2

Therefore x=2 and y=-2