Answer:
Explanation:
To solve the system of equations:
150X + 80Y = 22860 ...(1)
170X + 100Y = 27280 ...(2)
We can use the method of substitution or elimination to find the values of X and Y.
Let's use the method of substitution:
From equation (1), we can solve for X in terms of Y:
150X = 22860 - 80Y
X = (22860 - 80Y) / 150
Now substitute this value of X into equation (2):
170[(22860 - 80Y) / 150] + 100Y = 27280
Multiply through by 150 to eliminate the fraction:
170(22860 - 80Y) + 15000Y = 4086000
Distribute:
3892200 - 13600Y + 15000Y = 4086000
Combine like terms:
1400Y = 194800
Divide both sides by 1400:
Y = 194800 / 1400
Y = 139
Now substitute this value of Y back into equation (1) to find X:
150X + 80(139) = 22860
150X + 11120 = 22860
150X = 11740
X = 11740 / 150
X = 78.27
Therefore, the solution to the system of equations is X ≈ 78.27 and Y = 139.