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3 years ago

Solve the following systems b elemination show work and explain each step 3x + y = 13 4x - 3y = 13

Mathematics

1 answer:

Alika [10]3 years ago

5 0

Answer:

x = 4

y = 1

Step-by-step explanation:

Here, we want to solve the system of equation using elimination method

We have this as follows;

3x + y = 13

4x- 3y = 13

Multiply equation 1 by 3

9x + 3y = 39

4x-3y = 13

Add the two equations

13x = 52

x = 52/13

x = 4

From equation 1;

3x + y = 13

y = 13-3x

y = 13-3(4)

y = 13-12 = 1

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Which collection of three side lengths will not form a triangle

dezoksy [38]

Answer:

Any collection of lengths (a, b, c) which do not satisfy the triangle inequalities.

Step-by-step explanation:

Any collection (a, b, c) which do not satisfy the triangle inequalities. The inequalities:

a + b > c

b + c > a

a + c > b

You will need to test all of your options on the three inequalities above. If any one of the three fails, the collection won't work.

4 0

3 years ago

What are three equivalent ratios 14/2

Taya2010 [7]

Answer:

7/1
21/3
532/76

Step-by-step explanation:

Reduce the ratio to lowest terms, then multiply numerator and denominator by any same value to get another equivalent.

$\dfrac{14}{2}=\dfrac{2\cdot 7}{2\cdot 1}=\dfrac{7}{1}\\\\=\dfrac{3\cdot 7}{3\cdot 1}=\dfrac{21}{3}\\\\=\dfrac{76\cdot 7}{76\cdot 1}=\dfrac{532}{76}$

3 0

3 years ago

a triangle has a side length of 3/4 inch and a side length of 3in what could be the length in inches of the third side of the tr

eimsori [14]

I think the answer will be 6.75

6 0

3 years ago

2/3 divided by 11/15

NNADVOKAT [17]

You need to implement the process of "flip-flop" and multiply which is where you flip the second fraction and multiply.

$\frac{2}{3}$ ÷ $\frac{11}{15}$ ⇒ $\frac{2}{3}$ × $\frac{15}{11}$

Now you multiply across. 2×15=30 and 3×11=33

So now it is $\frac{30}{33}$

-----------------------------------------------------------
To reduce to the lowest terms, find the GCF common factor

The GCF is 3

Divide both the numerator and denominator by 3

$\frac{30}{33}$ ÷ $\frac{3}{3}$ = $\frac{10}{11}$

Answer: $\frac{10}{11}$

7 0

3 years ago

A family built a house in a beach resort area. In 1990, the house was 430 ft from the water. With erosion, the house was 400 ft

neonofarm [45]

We develop an equation for the given situation by first writing the general equation for lines,

y = mx + b

Substituting to this given the values given above,

(1990) 430 = b

(2000) 400 = m(10) + 430

The value of m from the equation in 2000 is -3. Thus, the equation of that relates the variables is,

y = -3x + 430

8 0

3 years ago