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Anna71 [15]
3 years ago
11

Use the system of equations to answer the question. 2x+3y=8 x-y=5

Mathematics
1 answer:
Digiron [165]3 years ago
7 0

Answer:

x=5+y

2(5+y)+3y=8

10+2y+3y=8

2y+3y=8-10

5y= -2

y= -2/5

x-(-2/5)=5

x+2/5=5

x=5-2/5

x=23/5

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Which of the following is a correct equation for the line passing through the point (-2,1) and having slope m= 1/2?
Taya2010 [7]

Incomplete Question the complete Qs is

Which of the following is a correct equation for the line passing through the point (-2,1) and having slope m = 1/2?  

a: y=1/2x+2

b: y=-2x+1/2

c: x-2y=-4

d: y-1=1/2(x+2)

Answer:

The Correct option is c. x-2y=-4

Therefore the correct equation for the line passing through the point (-2,1) and having slope m= 1/2 is

x-2y=-4

Step-by-step explanation:

Given:

Slope = m =\dfrac{1}{2}

point A(x₁, y₁)=(-2,1)  

To Find:  

Equation of Line  =?  

Solution:  

Equation of a line passing through a points A( x₁ , y₁) and having slope m is given by the formula,  

i.e equation in point - slope form

(y-y_{1})=m(x-x_{1})

Now on substituting the slope and point A( x₁ , y₁) ≡ ( -2 , 1) we get

(y-1)=\dfrac{1}{2}(x-(-2))\\\\2y-2=x+2\\x-2y=-2-2=-4\\x-2y=-4 As required

Therefore the correct equation for the line passing through the point (-2,1) and having slope m= 1/2 is

x-2y=-4

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3 years ago
Mike had 119 dollars to spend on 6 books. after buying them he had 11 dollars. how much did each book cost ?
deff fn [24]
18 $ Hope I helped
This is how I came to the result..
119-11= 108
108 : 6 = 18 $
8 0
3 years ago
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