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faust18 [17]
4 years ago
12

Twice a number plus twice a second number is 310. The difference between the numbers is 55. Find the numbers by writing and solv

ing a system of equations. Explain how you solved the system.
Mathematics
1 answer:
Alexus [3.1K]4 years ago
4 0

Answer:

2x+2y=310

x-y=55

multiply seond equation by 2 and adding to first equation

2x-2y=110

add

2x-2y=110

2x+2y=310 +

4x+0y=420

4x=420

divide 4

x=105

sub

x-y=55

105-y=55

minuse 105

-y=-50

mult -1

y=50

the numbers are 105 and 50

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