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Alika [10]
3 years ago
13

How many solutions does 7(2x-2)=7x+14 have?

Mathematics
2 answers:
Morgarella [4.7K]3 years ago
7 0
It only has one solution.
lyudmila [28]3 years ago
3 0

it has only one solution

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Find the point 3x - 7x₂ =5. of the lines x, - 5x2 = 1 and of intersection
tia_tia [17]

Answer:

(\frac{9}{4},\frac{1}{4})

Step-by-step explanation:

We are given that two lines

x_1-7x_2=5 and x_1-5x_2=1

We have to find the intersection point of two lines

Let 3x_1-7x_2=5 (equation 1)

x_1-5x_2=1 (Equation 2)

Multiply equation 2 by 3 then subtract  from  equation 1

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x_2=\frac{2}{8}=\frac{1}{4}

Substitute x_2=\frac{1}{4} in the equation 1

Then, we get

3x_1-7\frac{1}{4}=5

3x_1-\frac{7}{4}=5

3x_1=5+\frac{7}{4}=\frac{20+7}{4}=\frac{27}{4}

x_1=\frac{27}{4\times 3}=\frac{9}{4}

Hence, the intersection point of two given lines is (\frac{9}{4},\frac{1}{4})

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Answer:

Step-by-step explanation:

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