What is the point of intersection to the system below?
2x - 3y = 5
3x +3y = 5

Solution: {x = 2, y = -1/3}

Step-by-step explanation:

On observation, we see that the y-terms are equal and opposite in sign, therefore to solve the system, we add the two equations.

2x-3y = 5 (1)

3x+3y = 5(2)

(1) + (2)

2x - 3y + 3x + 3y = 5+5

5x = 10

x = 2 (3)

Substitute (3) in (2) and solve for x

3x+3y = 5 (2)

3(2) + 3y = 5

3y = 5-6 = -1

y = -1/3  (4)

assemble (3) and (4) to give the answer

Solution: {x = 2, y = -1/3}

step-by-step explanation:

4  

25

5258y

54.

t5

5r

54

5856

542

5458

86

.8558.65

565

565

55898

786

8/95

5896

8656265

556478