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koban [17]
3 years ago
7

Use the elimination method to solve the system of equations.2x + 3y = 183x – 3y = 12

Mathematics
2 answers:
weeeeeb [17]3 years ago
7 0

Answer:

The solution would be (6, 2)

Step-by-step explanation:

In order to solve this using elimination, simply add the two equations together.

2x + 3y = 18

3x - 3y = 12

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

5x = 30

x = 6

And now that we have the value for x, we can solve for y.

2x + 3y = 18

2(6) + 3y = 18

12 + 3y = 18

3y = 6

y = 2

mash [69]3 years ago
5 0

Answer:

Solution of the given system of equations is x = 6 and y = 2

Step-by-step explanation:

In the given system equations are

2x + 3y = 18 -------(1)

3x - 3y = 12 --------(2)

We add equation 1 and 2 to get the value of x

(2x + 3y) + (3x - 3y) = 18 + 12

2x + 3x + 3y - 3y = 30

5x = 30

x = \frac{30}{5}=6

Now we put the value of x in equation 1.

2(6) + 3y = 18

12 + 3y = 18

3y = 18 - 12

3y = 6

y = 2

Therefore, solution of the given system of equations is x = 6 and y = 2

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The sum of two numbers is 2. The sum of three times the larger and twice the smaller is 14. Find the numbers.
anzhelika [568]

For this case we have to:

x: Be the variable that represents the largest number

y: Be the variable that represents the smallest number

We propose a system of equations:

x + y = 2\\3x + 2y = 14

From the first equation we have to:

x = 2-y

Substituting in the second equation:

3 (2-y) + 2y = 14\\6-3y + 2y = 14\\6-y = 14\\-y = 14-6\\-y = 8\\y = -8

We look for the value of "x":

x = 2 - (- 8)\\x = 2 + 8\\x = 10

Answer:x = 10\\y = -8

8 0
4 years ago
Is xxx greater than, less than, or equal to 110^\circ110 <br> ∘<br> 110, degrees?
frosja888 [35]

The angle z is equal to 110° by vertically opposite angles. Hence, the correct option will be C. z = 110°.

<h3>What is vertically opposite angles?</h3>

The vertically opposite angles are those angles that are opposite one another at a specific vertex and are created by two straight intersecting lines.

Given;

The one angle is given as 110°.

So, angle z will be equal to 110° by vertically opposite angles.

Hence, the correct option will be C. z = 110°.

Learn more about vertically opposite angles;

brainly.com/question/18045519

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4 0
2 years ago
10.) Fishermen have been studying how the number of dead sea turtles in the local bay is related to the pollution index of the b
alexdok [17]

Answer:

Step-by-step explanation:

A linear function is a polynomial function of the first degree that has the form:

f (x) = m*x + b   or  y=m*x + b

where y is the dependent variable, x is the independent variable, m is the slope of the line and b is the intercept with the Y axis.

The slope m measures the inclination of the line with respect to the abscissa axis, that is, the x axis.  According to the value of the slope m, the linear function can be increasing if m> 0, decreasing if m <0 or constant if m = 0.

You know that the number of sea turtle deaths per year is modeled by f(x) = 13.42x + 109.118.   Then the value of the slope is 13.42. In this scenario, the slope indicates that the number of deaths of sea turtles grows in a proportion of 13.42 with respect to the pollution index of the bay.

5 0
4 years ago
Write an equation in point slope form of a line that passes through the given point and has the given slope.
maxonik [38]

the equation of a line in point-slope form is

y - b = m(x - a)

where m is the slope and (a, b) a point on the line

here m = - 2 and (a, b) = (2, 6), hence

y - 6 = - 2(x - 2) ← equation in point-slope form


8 0
4 years ago
Their is a rectangle that has measurements in inches. If the width is 7/8 of an inch and the height is 2/3 of an inch, what is t
Alex Ar [27]

Answer:

Area of a rectangle = 7/12 of an inch

Step-by-step explanation

Area of a rectangle = Length × width

In this case, the length is represented by height

Height = 2/3 of an inch

Width = 7/8 of an inch

Area of a rectangle = Length × width

= 2/3 × 7/8

= (2 * 7) / (3 * 8)

= 14 / 24

= 7 / 12

Area of a rectangle = 7/12 of an inch

7 0
3 years ago
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