Question

Solve for x and y.

y = 2/3x - 2
y = -x + 3
O(-3,0)
O(0,-3)
O (3,0)
O (0,3)

Answer 1

(3,0)

Explanation:

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

y= -x+3 ... (2)

First, change the equations into normal equation form

(1): - 2/3x + y= - 2

(2): x+y= 3

(1)×3: - 2x+3y= - 6 ... (3)

(2)×2: 2x+2y= 6 ... (4)

(3)+(4): 5y=0

y= 0

Substitute y=0 into any equation

Let's say, equation (2)

y= -x+3

0= -x+3

-3= -x

x= 3

(x,y)= (3,0)