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3 years ago

Solve 3x – 7y = 25 5x – 8y = 27 using matrices. (25, 27) (27, 25) (-1, -4) (4, 1)

1 answer:

8 0

<span>This is somewhat similar to something called Cramer's Rule http://www.1728.org/cramer.htm

A) 3x – 7y = 25
a =3 b=-7 e=25
B) 5x – 8y = 27</span>
c=5 d=-8 f=27

dn = |a b |
      |c d |

dn = |3 -7|
   |5 -8

dn = (3*-8) -(5*-7)

dn = -24 +35

dn = 11

x = |e b|
      |f d|
divided by dn

x = |25 -7|
      |27 -8|
divided by dn

x = -200 -(-189) / 11
x = -11 / 11
x = -1

y = |a e |
   |c f |
divided by dn

y = |3 25|
   |5 27|
divided by dn

y = 81 -125 / dn = -44 / 11 =-4

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GenaCL600 [577]

Answer:

$x=-6,\\y=6$

Step-by-step explanation:

Rewrite the system of equations as:

$\begin{cases}-13x+2y=90\\-6x+2y=48\end{cases}$

Subtract the second equation from the first to isolate $x$ :

$-13x+2y-(-6x+2y)=42,\\-7x=42, \\\fbox{$x=-6$}$

Plug in $x=-6$ into any of the equations above and solve for $y$ :

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Verify that the solution pair $(-6, 6)$ works $\checkmark$

Therefore, the solution to this system of equations is:

$x=-6,\\y=6$

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3 years ago

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Gekata [30.6K]

Answer:

1, 4/5,2/5

Step-by-step explanation:

y = 5x

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5 = 5x

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5/5 =5x/5

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3 years ago

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Step-by-step explanation:

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3 years ago

Read 2 more answers

The radius of a cylinder gift box is box is 3X +1 inches the height of the gift box is twice the radius what is the surface area

Genrish500 [490]

Answer:

The surface area of the gift box is = $A = \frac{1188}{7}x^{2}+ \frac{774}{7}x +\frac{132}{7}$

Step-by-step explanation:

The surface area of the cylinder can be calculated using this formula:

$A=2\pi rh+2\pi r^2$

in this case, r is not a number, but rather an expression, which is r = $3x +1$ .

The height of the gift box is twice the radius, which is h = $2(3x+1)= 6x+2$

To get our curved surface area, we carefully put the expressions for h and r into the equation.

$A = 2 \times \frac{22}{7} \times (3x+1) \times (6x+2) + 2 \times \frac{22}{7} \times (3x+1)^{2}$

$A = \frac{44}{7} (3x+1) \times (6x +2) + \frac{44}{7} (9x^{2} + 6x +1)\\A =\frac{132}{7}x + \frac{44}{7} \times (6x+2)+ \frac{396}{7}x^{2}+\frac{246}{7}x +\frac{44}{7}$

$A = \frac{792}{7}x^{2} +\frac{264}{7}x +\frac{264}{7}x + \frac{88}{7} + \frac{396}{7}x^{2} + \frac{246}{7}x + \frac{44}{7}$

$A = \frac{1188}{7}x^{2}+ \frac{774}{7}x +\frac{132}{7}$

The surface area of the gift box is = $A = \frac{1188}{7}x^{2}+ \frac{774}{7}x +\frac{132}{7}$

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3 years ago

What is the first term of the quotation of the following division problem?

sveticcg [70]

Answer:

I believe it's D.

Step-by-step explanation:

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Hope This Helps! Have A Nice Day!!

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3 years ago