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3 years ago

Solve the equations -9x + 2y = 23 and -4x - y = -3

Mathematics

2 answers:

Ira Lisetskai [31]3 years ago

8 0

Answer:

(-1,7)

Step-by-step explanation:

-9x + 2y = 23

-4x - y = -3

multiplying equation 2 by 2

-9x + 2y = 23

-8x - 2y = -6

adding the two equation to cancel out y

-17x = 17

x = -1

plugging back x = -1 into the second equation

4 - y = -3

-y = -7

y = 7

Talja [164]3 years ago

3 0

Answer:

y=7

x= -1

Step-by-step explanation:

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4 years ago

Graph the circle (x-8)^2 + (y+5)^2 = 4

Kobotan [32]

Answer:

The answer to your question is See the attachment

Step-by-step explanation:

Equation

(x - 8)² + (y + 5)² = 4

Process

1.- Write the standard equation of the circle

(x - h)² + (y - k)² = r²

2.- Find the center

The center are the letters h and k

h = 8 k = -5

3.- Find the radius

r = 2

4.- Graph the circle ( i will use geogebra)

See below

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3 years ago

Factor 25b – 14b<br> b(25 – 14)<br> b(25 + 14)<br> -b(25 – 14)<br> -b(25 + 14)

klio [65]

$\huge\text{Hey there!}$

$\large\text{We cannot do much of nothing because we don’t have all the information}\\\large\text{to solve.. so we can just simply do process of elimination until we fully find}\\\large\text{the ANSWER you are trying to look for.}$

$\large\text{Given equation: 25b - 14b}\\\large\text{COMBINE your LIKE TERMS}\\\large\text{\underline{25b - 14b} = 11b}\\\large\text{So, we are looking for an equation that gives us \bf{11b}}$

$\large\text{Option A.}\downarrow\\\large\text{b(25 - 14)}\\\large\text{DISTRIBUTE: b(25) + b(-14)}\\\bullet\large\text{ Reverts to: 25b - 14b (our ORIGINAL EQUATION) so this can be}\\\large\text{equal to 11b}\\\\\large\text{Option A. could POSSIBLY be your ANSWER}$

$\large\text{Option B. }\downarrow\\\large\text{b(25 + 14)}\\\large\text{Distribute}\\\large\text{25(b) + 14(b)}\\\large\text{It DOES NOT revert to the original equation. It gives us: 25b + 14b}\\\large\text{If we COMBINE your LIKE TERMS in that equation. We would get: 39b}\\\large\bf{39b \neq 11b}\\\\\large\text{Option B is NOT your ANSWER}$