All categories

2 years ago

The difference between two numbers is 7. The sum of twice the larger number and three times the smaller number is 19.

Mathematics

1 answer:

Alex17521 [72]2 years ago

6 0

Answer:

x= 8 y= 1

Step-by-step explanation:

First, you identify your variables:

x= larger number

y= smaller number

Second, you find your equations:

x - y = 7

2x + 3y = 19

Third, (I used the substitution method) you make "y" by itself for the 1st equation.

y = x - 7

2x + 3y = 19

Then, you plug in the 1st equation for "y" in the 2nd equation

2x + 3(x - 7) = 19

Then, you distribute and simplify.

2x + 3x - 21 = 19

5x - 21 = 19

5x = 40

x = 8

Finally, you plug in the variable you found ( x ) into one of the equations and solve,

8 - y = 7

- y = -1

y = 1

You might be interested in

Find the distance between each pair of points. Round your answer to the nearest tenth, if necessary. Hint: Use the Pythagorean T

Paul [167]

The distance between two points on the plane is given by the formula below

$\begin{gathered} A=(x_1,y_1),B=(x_2,y_2) \\ \Rightarrow d(A,B)=\sqrt[]{(x_1-x_2)^2+(y_1-y_2)^2} \end{gathered}$

Therefore, in our case,

$A=(-1,-3),B=(5,2)$

Thus,

$\begin{gathered} \Rightarrow d(A,B)=\sqrt[]{(-1-5)^2+(-3-2)^2}=\sqrt[]{6^2+5^2}=\sqrt[]{36+25}=\sqrt[]{61} \\ \Rightarrow d(A,B)=\sqrt[]{61} \end{gathered}$

Therefore, the answer is sqrt(61)

In general,

$-(-n)=n$

Remember that

$-n=(-1)\cdot n$

Therefore,

$\begin{gathered} a-(-n)=a+(-1)(-n)=a+(-1)(-1\cdot n)=a+(-1)^2\cdot n=a+1\cdot n=a+n \\ \Rightarrow a-(-n)=a+n \end{gathered}$

6 0

1 year ago

02.05) simplify i22. (1 point) 1 −1 −i i

olga2289 [7]

I^22 = i^(20 + 2) = i^20 x i^2 = (i^4)^(5) x (i)^2 = 1 x -1 = -1

7 0

3 years ago

How many possible passwords can you have if you can use numbers, letters, or capital letters but you must have at least one capi

belka [17]

Answer:

628 possible passwords.

6 0

3 years ago

Vitek1552 [10]

Answer:

Given :

→x-y=12

→xy= 3²

Equation formed:

${(x - y)}^{2} = {x}^{2} + {y}^{2} - 2xy$

Step by step explanation:

${(12)}^{2} = {x}^{2} + {y}^{2} - 2 \times 9 \\ 144 + 18 = {x}^{2} + {y}^{2} \\ = 162$

hope it helped you:)

8 0

3 years ago

Anyone know this answer for this question

svlad2 [7]

Answer:

What's the question, it's bloked on my computer

Step-by-step explanation:

3 0

3 years ago