Final answer:
To solve the equation 50x+57y=81300 for x and y, you can use the method of substitution or elimination. The solution to the equation is x = 876 and y = 1427.
Step-by-step explanation:
To solve the equation 50x+57y=81300 for x and y, you can use the method of substitution or elimination. Let's use substitution:
Step 1: Solve one equation for x or y.
50x + 57y = 81300
Let's solve it for x:
50x = 81300 - 57y
x = (81300 - 57y) / 50
Step 2: Substitute the value of x into the other equation.
Substituting x into the equation:
(81300 - 57y) / 50 + 57y = 81300
Simplify the equation:
81300 - 57y + 57*50y = 81300*50
81300 - 57y + 2850y = 81300*50
81300 + 2793y = 81300*50
2793y = 81300*50 - 81300
2793y = 81300(50 - 1)
2793y = 81300*49
y = (81300*49) / 2793
Step 3: Calculate the value of y.
y = 1427
Step 4: Substitute the value of y into the equation for x.
x = (81300 - 57*1427) / 50
x = 876
Therefore, the solution to the equation is x = 876 and y = 1427.