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3 years ago

Solve the system of equations and choose the correct answer from the list of options.

Mathematics

2 answers:

SpyIntel [72]3 years ago

7 0

(3, -2) satisfies both equations. 3-2=1, and -3-2=-5.

kap26 [50]3 years ago

3 0

(-2,3) wouldn't work with the second equation (2+3=5 not -5) so it's out. (0,0) is obviously out 0+0=0 same with (-3,0) -3+0=-3. The only one left is (3,-2) 3-2=1 and -3-2=-5. Since it's the only one to fit it's the correct option :)

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2) $y=84$

Step-by-step explanation:

Part 1) x and y vary inversely and x=50 when y=5 find y when x=10 what is k?

we know that

A relationship between two variables, x, and y, represent an inverse variation if it can be expressed in the form $y*x=k$ or $y=k/x$

step 1

Find the value of k

x=50 when y=5

substitute the values

$y*x=k$ ------> $5*50=k$ -----> $k=250$

The equation is equal to

$y*x=250$ or $y=250/x$

step 2

Find y when x=10

substitute the value of x in the equation and solve for y

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Part B) x and y vary directly and x=6 when y=42 find k what is y when x=12

we know that

A relationship between two variables, x, and y, represent a direct variation if it can be expressed in the form $y/x=k$ or $y=kx$

step 1

Find the value of k

x=6 when y=42

substitute the values

$y/x=k$ ------> $42/6=k$ -----> $k=7$

The equation is equal to

$y/x=7$ or $y=7x$

step 2

Find y when x=12

substitute the value of x in the equation and solve for y

$y=7(12)=84$

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