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Dima020 [189]
3 years ago
12

2x - y - 4 = 0

Mathematics
2 answers:
xenn [34]3 years ago
7 0
Hello :
<span>2x - y - 4 = 0 ....(1)
3x + y - 9 = 0 ....(2)
(1)+(2) : 5x-13 =0
5x=13
x=13/5
subsct in (2) :3(13/5)+y-9=0
y = 9-39/5
y=6/5
answer : </span><span>b. {(13/5, 6/5)}</span>
nekit [7.7K]3 years ago
3 0

Answer:

Option B.

Step-by-step explanation:

The given equations of the system are

2x - y - 4 = 0

2x - 4 = y ------(1)

3x + y - 9 = 0

3x + y = 9

y = 9 - 3x ------(2)

By replacing the value of y from equation (1) to equation (2)

2x - 4 = 9 - 3x

2x = 4 + 9 - 3x

2x = 13 - 3x

2x + 3x = 13

5x = 13

x = \frac{13}{5}

Now we plug in the value of x in the equation (1)

y=9-(3\times \frac{13}{5})

y=9-(\frac{39}{5})

y=\frac{45-39}{5}

y=\frac{6}{5}

Therefore, solution of the given system is [\frac{13}{5},\frac{6}{5}].

Option B. is the answer.

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