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What is the solution to this system of equations 3x+y=17 and x+2y=49

User Aerus
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2 Answers

6 votes

Answer:

It has a single solution: x = -3, y = 26.

Explanation:

User Farhan Qasim
by
3.9k points
5 votes

Answer:x=-3 y=26

Explanation:

3x+y=17.............(1)

x+2y=49..............(11)

From (11) x=49-2y

Substitute x=49-2y in 3x+y=17

3(49-2y) + y=17

Open bracket

147-6y+y=17

147-5y=17

Collect like terms

5y=147-17

5y=130

Divide both sides by 5

5y/5=130/5

y=26

Substitute y=26 in x+2y=49

x+2(26)=49

x+52=49

Collect like terms

x=49-52

x=-3

User Solaris
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3.6k points