Answer:
The solution is (9, 126).
Step-by-step explanation:
Multiply all three terms of the first equation by 100 to remove the decimal fractions. We get:
50x + 25y = 3600
Next, solve the second equatin for y, obtaining y = 16x - 18. Now substitute 16x - 18 for y in 50x + 25y = 3600:
50x + 25(16x - 18) = 3600, or 50x + 400x - 450 = 3600.
Combining like terms leads to: 450x = + 450 + 3600 = 4050
Diving both sides by 450 yields x = 4050/450 = 9.
Then x = 9.
Substituting 9 for x in the second equation yields y = -18 + 16(9) = 126.
The solution is (9, 126).
Check by substituting this result into the first equation:
0.5(9) + 0.25(126) = 36
4.5 + 31.5 = 36 This is true, so the solution (above) is correct.
