Question 64463
(1) x = 3y – 1
x +2y = 9 
Substitue the value of x in the 1st equation into the 2nd equation to get:
(3y-1)+2y=9
5y-1=9
5y=10
y=2
Substitute that value into the 1st equation to solve for x as follows:
x=3(2)-1
x=5
Sustitute x=5 and y=2 into the 2nd equation to check the solution.
5+2(2)=9
5+4=9
9=9
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SOLUTIOn: x=5 y=2
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(2) 2x – 3y = 12
x = 4y +1 
Substitute the value for x in the 2nd equation into the 1st equation:
2(4y+1)-3y=12
8y+2-3y=12
5y=10
y=2
Substitute into the 2nd equation to solve for x, as follows:
x=4(2)+1
x=9
Check in the 1st equation:
2(9)-3(2)=12
18-6=12
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SOLUTION: x=9, y=2
Cheers,
Stan H.