Answer on Question #67938 – Math – Algebra
Question
x+y=10
5.60x+3.50y=47.6
Solution
x+y=10 (1)
5.60x+3.50y=47.6 (2)
It follows from (1) that
x=10-y. (3)
Substitute x=10-y into the (2):
5.60(10-y)+3.50y=47.6.
Open brackets and simplify:
56 -5.60y+3.50y=47.6;
-2.10y=-8.40.
Divide both sides by (-2.10):
y=-8.40:(-2.10)
y=4.
Substitute y=4 into the (3):
x=10-4;
x=6.
Finally one gets
x=6, y=4.
Answer: x=6, y=4.
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