The system of equations above has solution (x,y). What is the value of x?

Answer:
x = 5.25
Step-by-step explanation:
Solve by substitution by substituting 2x as y into the first equation:
1/2(2x + y) = 21/2
1/2(2x + 2x) = 21/2
Simplify and solve for x:
1/2(4x) = 21/2
2x = 21/2
x = 21/4
x = 5.25
So, x = 5.25
Answer:
x = 5.25
step- by - step explanation
1/2 × ( 2x + y ) = 21/2 .............( 1 )
y = 2x ......................( 2 )
substitute the value of y in ( 1 )
1/2 ( 2x + 2 x ) = 21/2
simplify
1/2 ( 2 x + 2 x ) = 21/2
combine like terms
1/2 ( 4x ) = 22/2
Divide the numbers
1/2 ( 4 x ) = 10.5
divide 4 x by 2
4 x / 2 = 10.5
2 x = 10.5
divide each side by 2
2x/2 = 10.5 / 2
x = 5.25