For the equations ax + (a² + 1)y = 4 and 4x + ay = a², which of the following statements is TRUE?

Question

Accepted Answer

Given equations:
ax + (a² + 1)y = 4 4x + ay = a²
Check option 4:
a = -12, x = 48, y = 4
Substitute in equation 1:
ax + (a² + 1)y = 4
(-12)(48) + ((-12)² + 1)(4)
= -576 + (144 + 1)(4)
= -576 + 145 × 4
= -576 + 580
= 4
So equation 1 is satisfied.
Now check equation 2:
4x + ay = a²
4(48) + (-12)(4)
= 192 - 48
= 144
a² = (-12)² = 144
So equation 2 is also satisfied.
Therefore, option 4 is correct.
Final Answer: Option 4

Answer

Answer

Answer