Answer:
[tex]x=\frac{21}{4}[/tex]
[tex]y=\frac{21}{2}[/tex]
Step-by-step explanation:
equation (1): [tex]\frac{1}{2} (2x+y)=\frac{21}{2}[/tex]
equation (2): y=2x
solve the system by substitution
step1: sub (2x) for y in equation 1:
[tex]\frac{1}{2} (2x+y)=\frac{21}{2}[/tex]
[tex]\frac{1}{2} (2x+2x)=\frac{21}{2}[/tex]
step2: simplify the expression:
[tex]\frac{1}{2} (4x)=\frac{21}{2}[/tex]
[tex]2x=\frac{21}{2}[/tex]
(divide by 2 for both sides)
[tex]x=\frac{21}{4}[/tex]
To find the value for y sub 21/4 for x in equation 2:
y=2x
y=2×(21/4)
[tex]y=\frac{21}{2}[/tex]
