Solve the simultaneous equation3600x + 1500y = 1500003960x + 1800y = 171000
1 answer:
9514 1404 393
Answer:
(x, y) = (452.5, -986)
Step-by-step explanation:
Dividing the first equation by 300 gives the standard form equation ...
12x +5y = 500
Dividing the second equation by 180 gives the standard form equation ...
22x +10y = 95
Subtracting the second of these equations from twice the first gives ...
2(12x +5y) -(22x +10y) = 2(500) -(95)
2x = 905 . . . . . simplify
x = 452.5 . . . . .divide by 2
The second equation tells us ...
y = (95 -22x)/10 = (95 -9955)/10 = -9860/10 = -986
The solution is (x, y) = (452.5, -986).
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