Answer:
One solution (0, 3).
Step-by-step explanation:
As both expressions in x are equal to y:
3x + 3 = -2x + 3
3x + 2x = 3 - 3
5x = 0
x =0.
So y = 3(0) + 3 = 3.
Answer:
The system has a unique solution pair (x,y)
Step-by-step explanation:
Since both linear equations are given to you solved for "y", each equation is in "slope-intercept form" which is unique. These equations show that they possess different slopes (signaled in bold in the equations below):
y = 3 x +3
y = -2 x +3
(one has slope "3" and the other one slope "-2"), and therefore they are forced to intersect. One represents a line going up (positive slope) and the other one a line going down (negative slope). That means that the system will intersect in one well defined point on the plane, giving a UNIQUE solution to the system.
