Question #67938

x+y=10
5.60x+3.50y=47.6
1

Expert's answer

2017-05-02T14:24:08-0400

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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