Question

Solve the system
-2y = 14 - 6x
2x+y=3​

Answer 1

x=2, y=-1

Explanation:

-2y=14-6x

y=(14-6x)/2

y=-7+3x

2x+y=3

y=3-2x

3-2x=-7+3x

5x=10

x=2

2*2+y=3

4+y=3y=-1

Answer 2

2x + y = 3

2x - 2x + y = 3

y = -2x + 3

-2y = 14 - 6x

-2y/-2 = 14/2 - 6x/2

y = 7 - 3x

y= 3x + (- 7)

How do the slopes and y–intercepts of the two equations compare?

The slopes are different

The y-intercepts are different

The system represents lines that intersect at one point, therefore the system has exactly one point.