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2 years ago

X + 3y = 2 -x + 2y = 3 Can somebody help me?

1 answer:

4 0

X = -1 ; y = 1

x + 3y = 2, isolate x by subtracting 3y from both sides. Now that x is alone (because x = -3y + 2) take -3y + 2 and plug it into the second equation.

-(-3y + 2) + 2y =3 ; multiply what’s in the parenthesis by -1. It now is 3y -2 + 2y =3, add the common variables ( 3y + 2y) and you now have 5y-2=3. Move the 2 to the other side by adding it to both sides, you now have 5y=5, divide both sides by 5 and y=1.

Take any equation and plug y in for 1 to get x.

For example, (in the second equation), -x+2(1)=3, multiply 2 by 1 and you’re left with -x+2=3. Subtract 2 on both sides and you have -x=1, now divide both sides by -1 and x=-1.

You can check your work by plugging in the x and/or y values into the equations

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Mkey [24]

9514 1404 393

Answer:

4mn/(3m+12)

Step-by-step explanation:

It is often helpful to factor expressions so that common factors can cancel.

$\dfrac{8n^2}{m^2-16}\times\dfrac{m^2-4m}{6n}=\dfrac{8mn^2(m-4)}{6n(m-4)(m+4)}=\dfrac{4mn}{3(m+4)}\\\\=\boxed{\dfrac{4mn}{3m+12}}$

3 0

2 years ago

I need help pleaseee):

ankoles [38]

Answer:

Step-by-step explanation:

7 0

2 years ago

Avery and Caden have saved $27,000 towards a down payment on a house. They want to keep some of the money in a bank account that

Thepotemich [5.8K]

Answer:

$6750 in the bank account and $20,250 in the stock fund

Step-by-step explanation:

If B is the money they put in the bank and S is the amount they put in the stock fund, then:

B + S = 27000

1.024 B + 1.072 S = 1.06 × 27000

Solving the system of equations:

1.024 (27000 − S) + 1.072 S = 28620

27648 − 1.024 S + 1.072 S = 28620

0.048 S = 972

S = 20250

B = 27000 − S

B = 6750

They should put $6750 in the bank account and $20,250 in the stock fund.

6 0

3 years ago

Daren and Josh are pretty good free throw shooters. Daren makes 75% of the free throws he attempts. Josh makes 80% of his free t

snow_lady [41]

Answer:

Djud

Step-by-step explanation:

Ueud

5 0

2 years ago

Consider the formula for the slope between two coordinates

krek1111 [17]

The following equations is equivalent to the slope formula is A) y₂= m(x₂-x₁) + y₁.

<h3>What is slope?</h3>

The angle of inclination of a line with respect to the horizontal is quantified. In analytical geometry, a line, ray, or line segment's slope is the proportion of the vertical to the horizontal distance between any two points ("slope equals rise over run").

<h3>What is equation?</h3>

Two expressions are combined by the equal sign to form a mathematical statement known as an equation. For instance, a formula might be 3x - 5 = 16. We discover that the variable x has a value of 7 after solving this equation.

Given that,

Take a look at the formula below for the slope between two coordinate locations, m.

m = $\frac{y_{2}- y_{1} }{x_{2}-x_{1} }$

Here, slope is

m = $\frac{y_{2}-y_{1} }{x_{2}-x_{1} }$

Where m is the slope and y₁ and y₂ and x₁ and x₂ are coordinates of the axis.

The first step is to multiply x₂-x₁ on both sides in order to acquire y₂ on its own.

so you must add y₁ to both sides in order to get y₂ alone.

m(x₂-x₁) +y₁ = y₂.

Therefore, the following equations is equivalent to the slope formula is A) y₂ = m(x₂-x₁) + y₁.

To know more about the slope, visit:

brainly.com/question/16508963

#SPJ9

5 0

7 months ago