Question

What are the coordinates (x, y) at which the graphs of 2x + 3y = 12 and 2x - y = 4 intersect?

a.
(3, 2)
c.
(1, -2)
b.
(2, 3)
d.
(-3, 6)

Answer 1

A. (3,2)

3(2x-y=4)
2x+3y=12

Than cross put the y’s

8x= 24

X= 3

Than substitute the x into one of the original equations

3•2 + 3y = 12
6+ 3y = 12
-6 -6

3y = 6
/3. /3

y= 2

Answer 2

Explanation:

2x+3y=12

2x- y =4

-------------------------------------

subtraction. 4y=8

y=2

putting the value of y=2

2x-y=4

2x-2=4

2x=6

x=3

(3,2)

option A