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3 years ago

Use the substitution method to solve the system −x+y=−1, 4x−3y=6.

Mathematics

1 answer:

Sloan [31]3 years ago

4 0

Answer:

(3,2)

Step-by-step explanation:

I changed the first equation to x=y+1. Then I substituted the x in the second equation with y+1. So, I got 4(y+1)-3y=6. Then 4y+4-3y=6 turns into y=2. Then you replace y with 2 in the first equation. -x+2=-1. -x=-3 or x=3.

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Six is what fraction of 15? Six is what percent of 15?

worty [1.4K]

Six Is 2/5 Of 15

6 Is 40% Of 15

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3 years ago

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-4(2x-3) + 4x = 9x -4x +8 -4 answer this

shtirl [24]

Answer:

x = 8/9

Step-by-step explanation:

-4(2x-3) + 4x = 9x -4x +8 -4

2x*(-4) -3*(-4) + 4x = 9x - 4x + 8 - 4

-8x + 12 + 4x = 9x - 4x + 8 - 4 {Combine like terms}

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12 = 5x + 4x + 4

12 = 9x + 4

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3 years ago

Which expression represents the value of the series below?<br> 3+ 7 + 11 + 15 + ... + 1,671

torisob [31]

Answer:

Step-by-step explanation:

This is an Arithmetic Series with common difference 4 and first term 3

so the nth term an = 3 + (n -1)4

= 4n - 1.

The sum of n terms

= n/2 (a1 + L)

= n/2(3 + 1671)

= 837n.

There are (1671-3) / 4 + 1 = 418 terms in the series,

so the total value of the series is 837*418

= 349,866.

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2 years ago

Write the standard equation of the circle with center (– 10, –3) that passes through the point (-3,3).

Sphinxa [80]

Answer:

$(x+10)^2 + (y+3)^2 = 85$

Step-by-step explanation:

Equation of a circle:

The standard equation of a circle with center $(x_0,y_0)$ is given by:

$(x - x_0)^2 + (y - y_0)^2 = r^2$

In which r is the radius.

Center (– 10, –3)

This means that $x_0 = -10, y_0 = -3$ . So

$(x - x_0)^2 + (y - y_0)^2 = r^2$

$(x - (-10))^2 + (y - (-3))^2 = r^2$

$(x+10)^2 + (y+3)^2 = r^2$

Passes through the point (-3,3).

This means that we use $x = -3, y = 3$ to find the radius squared. So

$(x+10)^2 + (y+3)^2 = r^2$

$(-3+10)^2 + (3+3)^2 = r^2$

$r^2 = 49 + 36$

$r^2 = 85$

The equation of the circle is:

$(x+10)^2 + (y+3)^2 = r^2$

$(x+10)^2 + (y+3)^2 = 85$

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3 years ago

Please help I don’t understand

Kazeer [188]

Answer:

Me either

Step-by-step explanation:

3 0

3 years ago

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