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Ivanshal [37]
4 years ago
15

Solving liner system, substitution method 2x-y=23 x-9=-3

Mathematics
2 answers:
dedylja [7]4 years ago
8 0
The easiest way to solve that would be elimination method, but if you have to do substitution:
x-9=-3
 add 9 to each side to get 
x=6
then plug 6 into the other equation for x
2(6)-y=23
and solve for y :)

olya-2409 [2.1K]4 years ago
7 0
2x - y = 23
x - 9 = -3

x - 9 = -3
<u>  + 9  + 9</u>
     x = 6
2(6) - y = 23
  12 - y = 23
<u>- 12      - 12</u>
       -y = 11
         y = -11
(x, y) = (6, -11)
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Peter is at a lumber yard. He gets 2 free boxes of nails for every 10 boards he buys. Write an expression for the number of boxe
Sati [7]
A. The number of 10-boards Peter bought is equal to n divided by 10. Then, each of the 10-boxes will get two boxes of nails. The number of boxes of nails that Peter will have after buying n boards will be,

    N = (2)(n/10)

Simplifying,

<em>   N = n/5</em>

b. If the number of boards are 90 then,

     N2 = (90/10)(2)(100 nails/box)
     N2 = 1800

Answer: 1800
7 0
3 years ago
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Write the equation of the line that passes through the points (2,0) and (1,-2)
Darya [45]

Answer:

y

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Explanation:

First, we need to determine the slope of the line. The formula for determining the slope of a line is:

m

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−

y

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where

m

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x

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and

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y

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For this problem the slope is:

m

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3

−

−

1

2

−

0

m

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3

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1

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m

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4

2

m

=

2

Now, selecting one of the points we can use the point slope formula to find the equation.

The point slope formula is:

y

−

y

1

=

m

(

x

−

x

1

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Substituting one of our points gives:

y

−

−

1

=

2

(

x

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0

)

y

+

1

=

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Solving for

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y

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1

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1

=

2

x

−

1

y

+

0

=

2

x

−

1

y

=

2

x

−

1

Answer linky

=

2

x

−

1

Explanation:

First, we need to determine the slope of the line. The formula for determining the slope of a line is:

m

=

y

2

−

y

1

x

2

−

x

1

where

m

is the slope and the x and y terms are for the points:

(

x

1

,

y

1

)

and

(

x

2

,

y

2

)

For this problem the slope is:

m

=

3

−

−

1

2

−

0

m

=

3

+

1

2

m

=

4

2

m

=

2

Now, selecting one of the points we can use the point slope formula to find the equation.

The point slope formula is:

y

−

y

1

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m

(

x

−

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1

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Substituting one of our points gives:

y

−

−

1

=

2

(

x

−

0

)

y

+

1

=

2

x

Solving for

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to put this in standard form gives:

y

+

1

−

1

=

2

x

−

1

y

+

0

=

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x

−

1

y

=

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Answer link

4 0
2 years ago
Solve x(x−5)+4(x−5)=0, for x.
kherson [118]
Here is your answer. Good luck!

6 0
3 years ago
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A right triangle's height is 3 times the length of its base. if the area of the triangle is 486, what is the height?
Irina-Kira [14]
The formula of the area of a triangle:
A_\Delta=\dfrac{bh}{2}
b - the bash - the height
We have:
b - the base3b - the height486 - the area

Substitute:
\dfrac{3b\cdot b}{2}=486\ \ \ |\cdot2\\\\3b^2=972\ \ \ |:3\\\\b^2=324\to b=\sqrt{324}\\\\b=16\to h=3b=3\cdot18=54
Answer: The length of the height is equal 54 units.
4 0
3 years ago
F(x) =5x-8 when x=-3,0, and 4z
Akimi4 [234]

Answer:

f(3)= 5(3)-8= 15-8= 7

f(0)= 5(0)-8= 0-8= -8

f(4z)= 5(4z) - 8 = 20z - 8

7 0
3 years ago
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