Algebraically solve the system of equations 2x + y = 5 and 5x − 2y = 8.
1 answer:
Answer:
x=2, y=1
Step-by-step explanation:
2x + y = 5
5x − 2y = 8.
Multiply the first equation by 2
2( 2x + y) = 5*2
4x +2y = 10
Add this to the 2nd equation to eliminate y
4x+2y = 10
5x -2y = 8
--------------------
9x = 18
Divide by 9
9x/9 = 18/9
x = 2
Now find y
2x+y = 5
2(2)+y = 5
4+y = 5
Subtract 4 from each side
y = 5-4
y =1
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Step-by-step explanation:
Answer:
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