Question

x - 2y = 3 5x + 3y = 2 The lines whose equations are shown intersect at which point? (1, -1) (-1, 1) (0, 3/2)

Answer 1

The lines intersect at (1, -1)

hope it helps!!

Answer 2

Answer: The correct answer is (1,-1).

Step-by-step explanation:

The given equations are,

`x-2y=3` ..... (1)

`5x+3y=2` ..... (2)

Use elimination method to solve the equations.

Multiply equation (1) by 5.

`5(x-2y)=5(3)`

`5x-10y=15` ..... (3)

Subtract equation (3) from equation (2).

`5x+3y-(5x-10y)=2-15`

`5x+3y-5x+10y=-13`

`13y=-13`

`y=-1`

The y-coordinate is -1.

Put y=-1 in equation (1).

`x-2(-1)=3`

`x+2=3`

`x=3-2`

`x=1`

The x-coordinate is 1.

Therefore the intersection point is (1,-1).