Determine the solution of the equation x+3y=12 give atleast 4 solution and graph 1. ( _,1 )2. ( _,2 )3. ( 3,_ )4. 4,_ )
Answer (1)
Answer:To find solutions for the equation , we can substitute different values for to solve for , and vice versa. Here are at least four solutions based on your requirements:Finding Solutions1. For :x + 3(1) = 12 \\ x + 3 = 12 \\ x = 12 - 3 = 92. For :x + 3(2) = 12 \\ x + 6 = 12 \\ x = 12 - 6 = 63. For :3 + 3y = 12 \\ 3y = 12 - 3 \\ 3y = 9 \\ y = 34. For :4 + 3y = 12 \\ 3y = 12 - 4 \\ 3y = 8 \\ y = \frac{8}{3} \approx 2.67Summary of SolutionsThe four solutions are:1. 2. 3. 4. or approximately Graphing the EquationTo graph the equation :1. Find the x-intercept (when ):x + 3(0) = 12 \implies x = 12 \\ \text{Point: } (12, 0)2. Find the y-intercept (when ):0 + 3y = 12 \implies 3y = 12 \implies y = 4 \\ \text{Point: } (0, 4)
