Question

50x+57y=81300 what is x and y?

Answer 1

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.