2x+y=10 and 2y=x+4 im horrible at maths so pls help lol!!
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Answer:
2y=x+4
y=x+4/2
2x+y=10
2x+x+4/2=10
5x+4=20
5x=16
x=16/5
y=x+4/2
y=16/5+4÷2
y=36/8
Answered by
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Answer:
Step-by-step explanation:
Given that,
2x + y = 10 and 2y = x + 4
Let 2x + y = 10---------eq ( 1 ) and
x - 2y = - 4---------eq ( 2 )
Multiplying eq. ( 2 ) by 2, we get
2 × [ x - 2y = - 4 ]
2x - 4y = - 8--------eq ( 3 ) ( say).
On subtracting eq ( 1 ) - eq ( 3 ) , we get
2x + y - ( 2x - 4y ) = 10 - ( - 8 )
2x + y - 2x + 4y = 10 + 8 (∵ - × + = - ; - × - = + )
5y = 18
y = 18 / 5.
On substituting " y = 18/5 " in eq ( 1 ) , we get
2x + 18/5 = 10
2x = 10 - 18/5
2x = 50 - 18/5
2x = 32/5
x = 32/5 × 1/2
x = 16/5.
Hence, the values of x and y are 16/5 and 18/5.
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