Answer:
x = 8
y = -7
Step-by-step explanation:
-3y - 4х = - 11 .................................... (1)
3y - 5х = - 61 ..................................... (2)
From equation (2),
3y = -61 + 5x
divide through by 3 to have 'y' as the subject
y = -61/3 + 5x/3 ........................ (3)
Substitute for 'y' in equation (1) to get 'x'
Putting equation (3) in equation (1)
-3 (-61/3 + 5x/3) - 4x = -11
Open the bracket first
61 + (-5x) - 4x = -11
61 - 5x - 4x = -11
61 - 9x = -11
collect like terms
61 + 11 = 9x
72 = 9x
divide through by 9
8 = x
∴ x = 8
Substitute for x in either of the above equation to get 'y'
Using equation (3)
y = -61/3 + 5(8)/3
simplify
y = -61/3 + 40/3
common denominator
y = (-61 +40) / 3
y = -21 / 3
y = -7
