Question

What is the solution of the system defined by y=-x+ 5 and 5x + 2y = 14?

O A '=(1)/(3)', 'y= (11)/(7)"
B. X= (4/(3)", "y=(11)/(3)
c X= (5/(11)', 'y=0
D. ^x= (4)/(3)', y= 1
Help!!

Answer 1

x=4/3, y=11/3. (4/3, 11/3).

Explanation:

y=-x+5

5x+2y=14

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5x+2(-x+5)=14

5x-2x+10=14

3x=14-10

3x=4

x=4/3

y=-4/3+5=-4/3+15/3=11/3