4x + 3y = 3 equation 1
6x + 5y = 1 equation 2
first we need to eleminate 1 varaible by equating eq. 1 to eq.2
4x + 3y - 3 = 6x + 5y - 1
since there is nothing that can be eliminated
we will multiply each side so that 1 variable will be eleminated.
3(4x + 3y - 3 = 6x + 5y - 1)2
we multiply eqaution 1 by 3 and
we multiply eqaution 2 by 2
we got
12x + 9y - 9 = 12x + 10y - 2
now 12x will be eliminated:
by transposition
12x + 9y - 9 - 12x - 10y + 2 = 0
-y-7=0
y = -7
substitute the value of y to equation 1
4x + 3y = 3
4x + 3(-7) = 3
4x - 21 = 3
4x = 21 + 3
4x/4 = 24/4
x = 6
checking:
4x + 3y = 3
4(6) + 3(-7) = 3
24 - 21 = 3
3 = 3 check
