The solution for the system of equations is:
x = 0
y = 2
Explanation:Given the pair of equations:
2x + 4y = 8 ........................................................(1)
x = 3y - 6 ............................................................(2)
Substitute the expression of x in (2) into (1)
2(3y - 6) + 4y = 8
6y - 12 + 4y = 8
6y + 4y = 8 + 12
10y = 20
y = 20/10 = 2 ......................................................(3)
Substitute the value of y in (3) into (2)
x = 3(2) - 6
= 6 - 6
= 0
Therefore,
x = 0, and y = 2