Answer:
([tex]\frac{17}{2}[/tex], [tex]\frac{33}{8}[/tex]
Step-by-step explanation:
Given the 2 equations
- 2x = 16 - 8y → (1)
x + 4y = 25 → (2)
Rearrange (2) expressing x in terms of y by subtracting 4y from both sides
x = 25 - 4y → (3)
Substitute x = 25 - 4y into (1)
- 2 (25 - 4y) = 16 - 8y ← distribute left side
- 50 + 8y = 16 - 8y ( add 8y to both sides )
- 50 + 16y = 16 ( add 50 to both sides )
16y = 66 ( divide both sides by 16 )
y = [tex]\frac{66}{16}[/tex] = [tex]\frac{33}{8}[/tex]
Substitute this value into (3) for corresponding value of x
x = 25 - 4 × [tex]\frac{33}{8}[/tex] )
= [tex]\frac{50}{2}[/tex] - [tex]\frac{33}{2}[/tex] = [tex]\frac{17}{2}[/tex]
Solution is ( [tex]\frac{17}{2}[/tex], [tex]\frac{33}{8}[/tex] )
