Answer: (10, -2)
That is, x = 10, y = -2
Step-by-step explanation: Let 3x + 2y = 11 be equation I
Let x -2 = -4y be equation II
We shall use the substitution method like stated above.
From equation II, add 2 to both sides
x = 2 - 4y
Next, substitute for the value of x into equation I
3x + 2y = 11
3(2 - 4y) + 2y = 11
6 - 12y + 2y = 11
6 - 10y = 11
Subtract 6 from both sides of the equation
-10y = 5
Divide both sides of the equation by 5
-2 = y
Next, substitute for the value of y (-2) into equation II
x - 2 = -4(-2)
x - 2 = 8
Add 2 to both sides of the equation
x = 10
Therefore the solution is, (10, -2)
