Question

Someone help me with this ples with steps

Answer 1

Answer:

$x=\frac{21}{4}$

$y=\frac{21}{2}$

Step-by-step explanation:

equation (1): $\frac{1}{2} (2x+y)=\frac{21}{2}$

equation (2): y=2x

solve the system by substitution

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

$\frac{1}{2} (2x+y)=\frac{21}{2}$

$\frac{1}{2} (2x+2x)=\frac{21}{2}$

step2: simplify the expression:

$\frac{1}{2} (4x)=\frac{21}{2}$

$2x=\frac{21}{2}$

(divide by 2 for both sides)

$x=\frac{21}{4}$

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

y=2x

y=2×(21/4)

$y=\frac{21}{2}$