Answer:
(4,0)
Step-by-step explanation:
In other words, where do the graphs of 3x + 4y = 12 and 2x + 4y = 8 intersect? Recognize that the 2nd equation reduces to x + 2y = 4, or x = -2y + 4. Substitute this -2y + 4 for x in the 1st equation, obtaining:
3(-2y + 4) + 4y = 12, or -6y + 12 + 4y = 12. This is true only when y = 0. Subbing 0 for y in the 1st equation results in 3x = 12, indicating that x = 4. The solution (point of intersection) is thus (4,0).
