Question

Someone help me with this ples with steps

Answer 1

`x=(21)/(4)`

`y=(21)/(2)`

Explanation:

equation (1):
`(1)/(2) (2x+y)=(21)/(2)`

equation (2): y=2x

solve the system by substitution

step1: sub (2x) for y in equation 1:

`(1)/(2) (2x+y)=(21)/(2)`

`(1)/(2) (2x+2x)=(21)/(2)`

step2: simplify the expression:

`(1)/(2) (4x)=(21)/(2)`

`2x=(21)/(2)`

(divide by 2 for both sides)

`x=(21)/(4)`

To find the value for y sub 21/4 for x in equation 2:

y=2x

y=2×(21/4)

`y=(21)/(2)`