Answer:
( - [tex]\frac{9}{2}[/tex], - [tex]\frac{41}{2}[/tex] )
Step-by-step explanation:
Given the 2 equations
8x = 2y + 5 → (1)
3x = y + 7 → (2)
Rearrange (2) expressing y in terms of x by subtracting 7 from both sides.
y = 3x - 7 → (3)
Substitute y = 3x - 7 into (1)
8x = 2(3x - 7) + 5 ← distribute and simplify right side
8x = 6x - 14 + 5
8x = 6x - 9 ( subtract 6x from both sides )
2x = - 9 ( divide both sides by 2 )
x = - [tex]\frac{9}{2}[/tex]
Substitute this value into (3) for corresponding value of y
y = 3 × - [tex]\frac{9}{2}[/tex] - 7 = - [tex]\frac{27}{2}[/tex] - [tex]\frac{14}{2}[/tex] = - [tex]\frac{41}{2}[/tex]
Solution is (- [tex]\frac{9}{2}[/tex], - [tex]\frac{41}{2}[/tex] )
