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Andreyy89
3 years ago
10

2x+3y=6 3x-y=2 How many solutions does this have, one, none or infinite

Mathematics
2 answers:
sergey [27]3 years ago
6 0
Y=-2/3x + 2
y=3x-2

one because the slopes are different

alexandr1967 [171]3 years ago
4 0
<span>A) 2x+3y=6
B) 3x-y=2
Multiplying equation B by 3
9x -3y = 6 then adding it to equation A
2x + 3y = 6
11x = 12
x = 12 / 11
</span>
2x + 3y = 6
3y = 6 -2x
y = 2 -(2/3)x
y = 2 -(2/3) * (12/11)
y = 2 -8/11
y = 14 / 11

Therefore, it has one solution


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Hello!

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To find the slope, we need to use the slope formula. The slope formula is: \frac{y_{2}-y_{1} }{x_{2}-x_{1}}. We can assign the point (4, 6) to x_{1} and y_{1} and (9, 16) to x_{2} and y_{2}.

Now, we can find the slope: \frac{16-6}{9-4} = \frac{10}{5} = 2

Next, we can find the y-intercept by substituting a point into the slope-intercept form with the slope as 2.

y = 2x + b (substitute a given point)

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