All categories

2 years ago

(2x + 7y = -2418x+y=12 solve by substitution

Mathematics

1 answer:

const2013 [10]2 years ago

4 0

Answer:

x = .87, or when approximated to a fraction, 27/31

y = -3.67, or when approximated to a fraction, -1287/350

Step-by-step explanation:

Lets start by rewriting out our equations

2x + 7y = -24

18x + y = 12

Lets solve for a y value; the second equation is easiest, as the y value has no coefficient (the number that is multiplied times a variable). To do this, lets move the 18x to the other side. Now our two equations look like:

2x + 7y = -24

y = -18x + 12

Next, lets plus the second equation into the first equation in regards to y.

2x + 7(-18x + 12) = -24

Now, lets solve!

2x -126x + 84 = -24

Then, combine your terms!

-124x = -108

Divide by (-124)!

x = -108/-124

x = 27/31

Now that we know x, lets plug this back in to the first equation to find y!

2(27/31) + 7y = -24

1.74 + 7y = -24

7y = -25.74

y = -3.67, or when approximated to a fraction, -1287/350

You might be interested in

In parallelogram ABCD, AB = 16 cm, DA = 3<img src="https://tex.z-dn.net/?f=%5Csqrt%7B2%7D" id="TexFormula1" title="\sqrt{2}" alt

Murljashka [212]

Answer:

length of segment YZ is 8 cm

Step-by-step explanation:

given data

AB = 16 cm

DA = 3 $\sqrt{2}$ cm

AB and DA form interior angle = 45-degre

WX ≠ YZ

WX = 16 cm

to find out

length of segment YZ

solution

area of △ABD is the same as the area of △BCD

and

area of △ABD is express as

area of △ABD = AB × AD × sin(45) ÷ 2 ............1

put here value

area of △ABD = 16 × 3√2 × sin(45) ÷ 2

area of △ABD = 24

and

area of the parallelogram is

area of the parallelogram = 24 × 2

area of the parallelogram = 48

now we will consider here YZ = x

and Since ZY XW is isosceles trapezoid

so here we can say that

WM = ZM = (16 - x) ÷ 2 .......................2

so area of trapezoid will be

area of trapezoid = $\frac{ZY + WX }{2} \times ZM$ .......................3

area of trapezoid = $\frac{x+16}{2} \times \frac{16 - x}{2}$

48 = $\frac{x+16}{2} \times \frac{16 - x}{2}$

solve it we get

x = 8

so length of segment YZ is 8 cm

7 0

2 years ago

Is 234 divisible by 6

Korvikt [17]

A number is divisible by 6 if it is even and divisible by 3. Consider 234. This is an even number. The sum of the digits is 9. It is divisible by 3, which is divisible by 6
Yes, 234 divisible par 6

8 0

2 years ago

Read 2 more answers

Identify the factors of x2 + 25y2. ...?

Sveta_85 [38]

Is the equation like this? x^2 + 25y^2?
If the equation is like that, the answer would be (x-5y)^2 or (x-5y)(x-5y).
how did I get this? Just divide the factors or the get the square root of 25y^2 and it would be 5y. Then just try if it is positive or negative. In this case, it is negative because there is no factor w/ no exponential form. I hopemy answer helped you.

4 0

3 years ago

A journalist is interested in whether there is a significant difference in the salary offered to electrical engineering and chem

serious [3.7K]

Answer:

the appropriate conclusion is that

The samples provide evidence that there is a statistically significant difference between the starting salary of chemical engineering and electrical engineering graduates at the University of Texas at Austin for 2013-2014.

Step-by-step explanation:

Since the p-value is small, it indicates statistically significant results. This means that there is a statistically significant difference between the starting salary of chemical engineering and electrical engineering graduates at the University of Texas at Austin for 2013-2014.

4 0

2 years ago

I don’t understand what this means

Colt1911 [192]

Answer:

This means that if you have that amount of those and you do whatever the rest of the question is.

Step-by-step explanation:

8 0

2 years ago

Read 2 more answers

(2x + 7y = -2418x+y=12 solve by substitution​

(2x + 7y = -2418x+y=12 solve by substitution