Answer:
Third answer shown
Step-by-step explanation:
Since each equation has a right side equal to the same thing, y, those right sides must be equal to each other.
x + 3 = -2x + 6
Add 2x to both sides. 2x 2x
3x + 3 = 0 + 6
3x + 3 = 6
Subtract 3 on both sides. -3 -3
3x = 3
Divide both sides by 3. x = 1
Now, let's see what y must be if x equals 1.
Line M: y = x + 3 --> y = 1 + 3 --> y = 4
Line N: y = -2x +6 --> y = -2(1) +6 --> y = -2 + 6 --> y = 4, confirmed
So the ordered pair (x, y) that satisfies <u><em>both </em></u>equations is (1, 4)
*** This means that if you graphed both lines on an xy-coordinate plane, the point (1,4) would be the point where the two lines intersect.
That is the third answer shown.
