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).

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).