Question 1134038
2d + 100k = 460 multiply all times 3
3d + 400k = 1050 multiply all times -2 and add 
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6d + 300k = 1380
+
-6d + -800k = -2100
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0d + -500k = -720 divide by -500, and remember that -/- = + 
k = 720/500 = R1.44 this is how much the agency charges per kilometer.
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Using the first equation, let's find d:
2d + 100k = 460
2d + 100(1.44) = 460
2d + 144 = 460
2d = 316
d = R158 this is how much the agency charges per day
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Check:
2d + 100k = 460
2(158) + 100(1.44) = 460 Correct (multiply and add)
.
2nd equation:
3d + 400k = 1050
3(158) + 400(1.44) = 1050 Correct