All categories

3 years ago

What is the solution to this system of linear equations 7x-2y=-6 8x+y=3

Mathematics

2 answers:

mestny [16]3 years ago

7 0

Answer:

(0,3)

Step-by-step explanation:

7x-2y=-6

8x+y=3

Multiply the second equation by 2 so we can eliminate y

2(8x+2y) = 2*3

16x+2y=6

Add the first equation to the modified second equation

7x-2y=-6

16x+2y=6

--------------------

23x = 0

Divide by 23

23x/23 = 0/23

x =0

Now we need to find y

8x+y = 3

0+y =3

y=3

(0,3)

kipiarov [429]3 years ago

3 0

Answer: B

Step-by-step explanation:

You might be interested in

Galina runs a bakery, where she sells packages of 4 dozen cookies for $24.96 per package. The amount of money she makes by selli

elena-s [515]

Answer:

p(x) = f(x) - g(x) = -0.04x² + 20.96x - 71

Explanation:

The sales are given by f(x) = 24.96x and the cost are represented by g(x) = 0.04x² + 4x + 71.

Then, the profit is equal to

p(x) = f(x) - g(x)

p(x) = 24.96x - (0.04x² + 4x + 71)

p(x) = 24.96x - 0.04x² - 4x - 71

p(x) = -0.04x² + 20.96x - 71

Therefore, the answer is

p(x) = f(x) - g(x) = -0.04x² + 20.96x - 71

4 0

1 year ago

Please solve for x z=m+x

SIZIF [17.4K]

Answer:

x = z - m

Step-by-step explanation:

Solving for x with steps:

z=m+x
x + m = z
x + m - m = z - m
x = z - m

3 0

3 years ago

HEY YA'LL 30 PTS FOR 1 PROBLEM! Given: m∠EYL=1/3 the measure of arc EHL Find: m∠EYL.

GarryVolchara [31]

Answer:

Step-by-step explanation:

Two tangents drawn to a circle from an outside point form arcs and an angle, and this formula shows the relation between the angle and the two arcs.

m<EYL = (1/2)(m(arc)EVL - m(arc)EHL) Eq. 1

The sum of the angle measures of the two arcs is the angle measure of the entire circle, 360 deg.

m(arc)EVL + m(arc)EHL = 360

m(arc)EVL = 360 - m(arc)EHL Eq. 2

We are given this:

m<EYL = (1/3)m(arc)EHL Eq. 3

Substitute equations 2 and 3 into equation 1.

(1/3)m(arc)EHL = (1/2)[(360 - m(arc)EHL) - m(arc)EHL]

Now we have a single unknown, m(arc)EHL, so we solve for it.

2m(arc)EHL = 3[360 - m(arc)EHL - m(arc)EHL]

2m(arc)EHL = 1080 - 6m(arc)EHL

8m(arc)EHL = 1080

m(arc)EHL = 135

Substitute the arc measure just found in Equation 3.

m<EYL = (1/3)m(arc)EHL

m<EYL = (1/3)(135)

m<EYL = 45

5 0

3 years ago

Find the value of I in the triangle shown below. T = 56 312

Cerrena [4.2K]

Answer:

93 degrees

Step-by-step explanation:

The angles in a triangle add to be 180 so

180-56-31=x

x=93

8 0

3 years ago

What is the fraction twelve twentieths in its simplest form

Alla [95]

You mean $\frac{12}{20}$ or $\frac{20}{12}$ ?

If you had meant, $\frac{12}{20}$ , then the simplest form of this fraction would be - $\frac{3}{5}$

Divide both parts of the fraction by 4, and you get $\frac{3}{5}$ the simplest form of the fraction.
Finding out the simplest form of a given fraction is nothing else than cancelation.

Flop it, you have with you - $\frac{20}{12}$
Flop the simplest form of the previous fraction, that's $\frac{5}{3}$

If you had meant $\frac{20}{12}$ , then this will certainly be of any use to you.

HOW TO UNDERSTAND THAT THE FRACTION IS IN ITS SIMPLEST FORM?
Maybe, you are just simplifying and simplifying...but you don't even know when to stop. You can understand whether a fraction is in its simplest form or not by seeing that the numerator and the denominator have a common factor to divide it by, or not.

For instance, consider the case here - $\frac{3}{5}$ or $\frac{5}{3}$ . We can't divide it any further. So, we know that it is in its simplest form.

L O N G Process:
Well, if you want to divide it by the smallest common factor to its larger, then --
$\frac{12}{20}$ or $\frac{20}{12}$

1) Divided by 2 = $\frac{6}{10}$ or $\frac{10}{6}$

2) Next, also by 2 = $\frac{3}{5}$ or $\frac{5}{3}$

That took much longer, right. So, it is more preferable to divide the fraction by the possible largest common factor, you can guess of.

3 0

3 years ago

Read 2 more answers