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3 years ago

Solve by whatever method you would prefer. (Leave answers as improper fractions) 3x+2y=-10 2x-5y=3 (Show your work (Brainliest)

Mathematics

1 answer:

alexandr1967 [171]3 years ago

5 0

Answer:

y = -29/19 and x = -44/19

Step-by-step explanation:

3x + 2y = -10 multiply by -2 ⇔ -6x - 4y = 20

2x - 5y = 3 multiply by 3 ⇔ 6x - 15y = 9

Add the two equation -19y = 29

y = -29/19

Use equation one and solve for x

3x + 2(-29/19) = -10

3x - 58/19 = -10

3x = -10 + 58/19

3x = -190/19 + 58/19

3x = (-190 + 58)/19

3x = -132/19

x = - 132/ 19 ÷3 $\frac{-132}{19} (\frac{1}{3} ) = \frac{-44}{19}$

x = -44/19

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Write the equation x + 3y = -4 in slope-intercept form, and then find the slope and y-intercept.

katrin2010 [14]

Answer with step by step explanation

To find the equation of the line from the given equation, you have to make y as the subject in the equation.

Let us find now.

x + 3y = -4

3y = -4 - x

3y = -x - 4

Divide the whole equation by 3.

y = -x/3 - 4/3

Therefore, the equation of the line is:

y = -x/3 - 4/3

And now we have to find the slope and the y - intercept of the line.

That is, we have to find the m & c of y = m x + c.

Here,

m ⇒ slope

c ⇒ y - intercept

So, to find it we have to find the values which were replaced with m & c.

Let us find now.

y = m x + c

y = -x/3 - 4/3

Now it is clear that, -1/3 & -4/3 are replaced with m & c respectively.

Therefore,

slope ⇒ -1/3

y - intercept ⇒ -4/3

4 0

2 years ago

If a rectangle has a width of 36 inches and it’s diagonal is 60 inches what is the length of the rectangle

chubhunter [2.5K]

Since a rectangle is 2 triangles put together then just use the pythoragean therom to find the length of the rectange.a^2+b^2=c^2 60=c, b=36
a^2+36^2=60^2
a^2+1296=3600
a^2+1296-1296=3600-1296
a^2=2304
sq root of a^2=sq root of 2304
a=48

the missing length of the triangle is 48in

3 0

3 years ago

Use the substitution method to find the solution to the system of linear

Aleksandr-060686 [28]

Answer:

therefore the value of x = 3 and y = -2

Step-by-step explanation:

using substitution method in solving the following equation

let

y = -x + 1 ........................ equation 1

y= 2x– 8........................... equation 2

substitute for 1 in equation 2 i.e put the value of y in equation 1 to value of y in equation 2

y= 2x– 8........................... equation 2

-x + 1 = 2x - 8

by collecting the like terms

1 + 8 =2x + x

9 = 3x

divide both sides by 3

we have

9/3 = 3x/3

3 = x

therefore x = 3

put x = 3 in equation 1

y = -x + 1 ........................ equation 1

y = -(3) + 1

y = -2

therefore the value of x = 3 and y = -2

to check if your answer is correct

put the value of x and y in either equation one or 2

y= 2x– 8........................... equation 2

-2 = 2(3) - 8

-2 = 6 - 8

-2 = -2 ......................... proved

3 0

4 years ago

A yard contains 36 inches. 21 inches is what fraction of a yard ?

nexus9112 [7]

The answer to this question is: 7/12

If I managed to help you, please make sure to mark my answer as the "Brainliest" answer. Thanks! :)

8 0

3 years ago

Help please I’m not good at rational functions.

GuDViN [60]

Answer:

See below.

Step-by-step explanation:

$\frac{6z^2-12z}{4z^2-16z+16} +\frac{3z}{z^2-z-2} \\\\$

First, factor the numerators and the denominators:

$=\frac{6z(z-2)}{4(z^2-4x+4)}+\frac{3z}{z^2-z-2}\\=\frac{6z(z-2)}{4(z-2)^2}+\frac{3z}{(z-2)(z+1)}\\=\frac{3z}{2(z-2)}+\frac{3z}{(z-2)(z+1)}$

Now, make the two denominators equivalent. To do this, we can multiply the first term by (z+1) and multiply the second term by 2. This will give us:

$(\frac{z+1}{z+1} )(\frac{3z}{2(z-2)})+(\frac{2}{2})(\frac{3z}{(z-2)(z+1)})\\=\frac{3z(z+1)}{2(z-2)(z+1)}+\frac{6z}{2(z-2)(z+1)} \\$

Now, combine them since they have a common denominator:

$=\frac{3z^2+3z+6z}{2(z-2)(z+1)}\\ =\frac{3z^2+9z}{2(z-2)(z+1)} \\=\frac{3z(z+3)}{2(z-2)(z+1)}$

This cannot be simplified further.

7 0

3 years ago