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3 years ago

Using the substitution method what is the POI of y=4x-5 and y=2/3x+5

Mathematics

1 answer:

Nutka1998 [239]3 years ago

3 0

(x,y) = (3,7)

Since both equations express y in terms of x we can equate them.

4x - 5 =2/3x + 5 (subtract 2/3x from both sides )

10/3x - 5 = 5 (add 5 to both sides)

10/3x = 10

multiply both sides by 3/10

x = (3× 10)/10 = 3

substitute x = 3 in either of the 2 given equations to obtain y-coordinate

y = 4x - 5 ⇒ y=(4 × 3) - 5 = 12 - 5 = 7

point of intersection = (3,7)

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Vanyuwa [196]

Answer:

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Step-by-step explanation:

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3 years ago

What does the missing angle in the triangle measure? 95° 25° ....

Whitepunk [10]

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3 years ago

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EastWind [94]

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3 years ago

Using the quadratic formula to solve 5x = 6x²-3, what are the values of x?

Salsk061 [2.6K]

Answer:

$\boxed{\sf{x = \frac{5 \pm \sqrt{97} }{12} }}$

Step-by-step explanation:

$\sf{5x = 6 {x}^{2} - 3 }$

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$\sf{0 = 6 {x}^{2} - 5x - 3 }$

a = 6
b = - 5
c = - 3

$\sf{x = \frac{ - b \pm \sqrt{ {b}^{2} - 4ac} }{2a} }$

$\sf{x = \frac{ - ( - 5) \pm \sqrt{ { - 5}^{2} - 4(6)( - 3)} }{2(6)} }$

$\sf{x = \frac{5 \pm \sqrt{ 25 + 72} }{12} }$

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8 0

2 years ago

Which is the multiple of 2 a. 75 b. 1,000 c. 2461 d. 847

WINSTONCH [101]

For a number to be a multiple of 2, it must be an even number.
An even number ends in 0, 2, 4, 6, or 8.

The only choice that satisfies this is B. 1,000.
The rest of the choices are odd numbers; thus, they are not multiples of 2.

I hope this helps! :)

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3 years ago