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# Solving the system of equations by elimination method

1.
4x-y=16
x+y=14

2.
3x+5y=6
-3x+y=30

3.
5x+y=-18
7x-3y=-56

4.
4x+y=1
8x+9y=9

5.
3x-7y=27
-5x+4y=-45

6.
5x-2y=0
10x+9y=0

7.
-x+5y=1
-2x+10y=2

8.
24x+12y=-7
16x-19=18y

9.
40x+20y=-13
16x-19=50y

10.
4x-8y=8
8x-16y=20

#### Solution Preview

Please refer attached file for better clarity of solutions.

1.
4x-y=16 -----(1)
x+y=14 -----(2)
4x-y=16
x+y=14
5x=30
x=6
Put x=6 in equation 2, we get
6+y=14
Add -6 both sides, we get
y+6-6=14-6
y=8
Solution is (6,8)

2.
3x+5y=6 -----(1)
-3x+y=30 -----(2)
3x+5y=6
-3x+y=30
6y=36
y=6
Put y=6 in equation (2), we get
-3x+6=30
-3x=24
x=-8
Solution is (-8,6)

3.
5x+y=-18 ------(1)
7x-3y=-56 ------(2)
Multiply equation (1) with 3 and add to equation (2)
15x+3y=-54
7x-3y=-56
22x=-110
x=-5
Put x=-5 in equation (1), we ...

#### Solution Summary

There are 10 problems. Solutions to these problems depict the step by step methodology to solve for unknown parameters.

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