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DochEvi [55]
3 years ago
6

Solve the system by the elimination method. 3x - 2y - 7 = 0 5x + y - 3 = 0 To eliminate y, the LCM is 2. Which of the following

is the resulting equations? 3x - 2y - 7 = 0 5x + y - 3 = 0 3x - 2y - 7 = 0 -10x - 2y + 6 = 0 3x - 2y - 7 = 0 10x + 2y - 6 = 0
Mathematics
2 answers:
kari74 [83]3 years ago
8 0

Answer:

x=1 and y=-2.

Step-by-step explanation:

We have been given a system of equations. We are asked to simplify our given system by the elimination method.

3x-2y-7=0...(1)

5x+y-3=0...(2)

First of all, we will multiply equation (2) by 2 as shown below:

2*5x+2*y-2*3=0...(2)

10x+2y-6=0...(2)

Upon adding equation (1) and (2), we will get:

(3x-2y-7=0)+(10x+2y-6=0)\rightarrow 3x+10x-2y+2y-7-6=0

13x-13=0

13x-13+13=0+13

13x=13

\frac{13x}{13}=\frac{13}{13}

x=1

Upon substituting x=1 in equation (2), we will get:

5*1+y-3=0

5+y-3=0

2+y=0

2-2+y=0-2

y=-2

Therefore, the solution for our given system of equation is x=1 and y=-2.

Tresset [83]3 years ago
5 0
Next time, please share your system of linear equations by typing only one equation per line:

<span>3x - 2y - 7 = 0 5x + y - 3 = 0  NO

</span><span>3x - 2y - 7 = 0
5x + y - 3 = 0                          YES

Mult. the 2nd equation by 2 so as to obtain 2y, which will be cancelled out by  - 2y in the first equation:

</span><span>  3x - 2y - 7 = 0
2(5x + y - 3 = 0)

Then:

  3x - 2y - 7 = 0
10x +2y - 6 = 0
----------------------
13x - 13 = 0, so that x = 1.  Find y by subbing 1 for x in either of the 2 given equations.</span>
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