SOLUTION: First, of all thank you for taking the time out of your busy schedule to assist me. I have a total of three problems. I tried to send the together, it was confusing, so I will sen

Question 2236: First, of all thank you for taking the time out of your busy schedule to assist me. I have a total of three problems. I tried to send the together, it was confusing, so I will send them seperate.
1. Solve for X and Y in the following problems.
a. X+y=6, 2X+Y=8
b. 7X+3Y=14, 5X+9Y=10
c. 4X+Y=16, 2X+3Y=24
d. 12X+Y=25, 8X-2Y=14
Answer by gsmani_iyer(201) (Show Source): You can put this solution on YOUR website!
First of all I am solving the 2nd problem.
7x+3Y=14 ...... (1)
5x+9y=10 ...... (2)
By multiplying (1) by 3, we get,
21x+9y=42 ...... (3)
Eq.(3)-(2), we get,
16x = 32
= x = 32/16 = 2
Now, replacing the value of x in (1), we get
= 7*2 + 3y = 14
= 14 + 3y = 14
= 3y =14-14=0
so, y = 0
x=2; y=0; Ans.
Now take the last problem.
12x+y=25 ............(1)
8x-2y=14 ............(2)
24x+2y=50 ............(3) (By multiplying (1) by 2)
(3)+(2), we get
32x = 64
So x = 64/32 = 2
Now, replacing the value of x in (2), we get
8*2 - 2y = 14
=16 - 2y = 14
=2y =16-14 = 2
so y = 2/2 = 1
x=2; y=1; Ans.
Why I have solved only two problems is, you should also try to solve.
First, try to eliminate one variable either by adding or by subtracting. If a variable is not same in both the equations, then, make the variable of one equation equal to that of another either by multiplying or by dividing the equation so that we can eliminate one variable as stated earlier in the para.
Understood ! C'mon solve the other problems.

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