Answer:
x = 4 and y = -2
Explanation:
First equation: 2x + 3y = 2.
Second equation: 3x - 4y = 20.
Using the substitution method:
From Equation 1:
3y = 2 - 2x.
y = (2 - 2x)/3 (Equation 3).
Put equation 3 in equation 2:
3x - 4(2-2x)/3 = 20.
Taking LCM:
(9x - 4(2-2x))/3 = 20.
Cross Multiplying:
9x - 8 + 8x = 60
17x = 68
x = 4.
Put x = 4 in Equation 3:
y = (2 - 2(4))/3
y = (2-8)/3 = -6/3 = -2.
Therefore, x = 4 and y = -2!!!