Answer:
(-13/6, -12)
&
(2, 13)
Explanation:
x · y = 26 -------> x = 26/y
y = 1 + 6x
SUB for y
x(1 + 6x) = 26
x + 6x² = 26
SOLVE for x
6x² + x - 26 = 0
6x² + 13x - 12x - 26 = 0
6x(x - 2) 13(x - 2) = 0
(6x + 13)(x - 2) = 0
x = -13/6 or 2
Test x = -13/6 for both equations
Equation 1
-13/6 · y = 26
y = -156/13
y = -12
Equation 2
y = 1 + 6(-13/6)
y = 1 - 13
y = -12
-12 = -12 ✅
Test x = 2 for both equations
Equation 1
2 · y = 26
y = 26/2
y = 13
Equation 2
y = 1 + 6(2)
y = 1 + 12
y = 13
13 = 13 ✅
Hope this helps & God bless!