1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
SpyIntel [72]
1 year ago
11

The sum of three times a number and a second number is five. two times the first number added to the second number is 10. find t

he two numbers.
Mathematics
1 answer:
Aneli [31]1 year ago
7 0

Answer:

-5 , 20

Step-by-step explanation:

<h3>Forming system of linear equations and solving:</h3>

Let x and y be the first and second number respectively.

3x + y = 5 -------------(i)

       y = 5 - 3x

2x + y = 10 -------------(ii)

Method used for solving: substitution method.

Substitute y = 5 - 3x in equation (ii)

   2x + 5 - 3x = 10

   2x - 3x + 5 = 10

Combine like terms,

        -x + 5  = 10

Subtract 5 from both sides,

               -x = 10 - 5

                -x = 5

Multiply the entire equation by (-1)

                \sf \boxed{\bf x = -5}

y = 5 - 3*(-5)

 = 5 + 15

\sf \boxed{\bf y =20}

You might be interested in
Solve by substitution please??? Immediate help!
marta [7]
Solve for the first variable in one of the equations, then substitute the result into the other equation.
3. (1/2, -1,2)
4. (2, -4)
You can get step by step at:
https://www.mathpapa.com/algebra-calculator.html
3 0
3 years ago
Help please!!
Pavel [41]

Answer:

1. Left side = 3 inches, Bottom side = 4 inches, Right side = 2 inches, Top side = 5 inches

2.  A = 6 inches²

3.  A = 8 inches²

4.  A = 10 inches²

5.  A = 12 inches²

6.  A = 36 inches²

7. Left side = 5 cm, Bottom side = 12 cm, Right side = 4 cm, Top side = 13 cm

8. A = 180 cm²

Step-by-step explanation:

1. Label the dimensions of the prism:

Left side = 3 inches

Bottom side = 4 inches

Right side = 2 inches

Top side = 5 inches

2. Area of the red rectangle:

Formula:

LH = A (Length x Height = Area)

A = 3 x 2

A = 6 inches²

3. Area of the blue rectangle:

Formula:

LH = A (Length x Height = Area)

A = 4 x 2

A = 8 inches²

4. Area of the green rectangle:

Formula:

LH = A (Length x Height = Area)

A = 5 x 2

A = 10 inches²

5. (They gave the formula of the two triangles, but the question said green rectangle?  They must've meant yellow triangles)

Area of the yellow triangles:

Formula:

2 (1/2 Bh) (2 (half of base x height))

A = 2(1/2 3 x 4)

A = 2(1/2 12)

A = 2(6)

A = 12 inches²

6. Total surface area of the triangular prism:

Formula:

LH + LH + LH + 2 (1/2 Bh) = Surface Area of the triangular prism (Area of the red rectangle + Area of the blue rectangle + Area of the green rectangle + Area of the yellow triangles = Total surface area of the triangular prism)

A = 6 inches² + 8 inches² + 10 inches² + 12 inches²

A = 36 inches²

7. Label the dimensions of the prism:

Left side = 5 cm

Bottom side = 12 cm

Right side = 4 cm

Top side = 13 cm

8. Total surface area of the triangular prism:

First, we can find the area of each shape, as we had previously to find the total area of the net and the surface area of the triangular prism.

Area of the red rectangle:

Formula:

LH = A (Length x Height = Area)

A = 5 x 4

A = 20 cm²

Area of the blue rectangle:

Formula:

LH = A (Length x Height = Area)

A = 12 x 4

A = 48 cm²

Area of the green rectangle:

Formula:

LH = A (Length x Height = Area)

A = 13 x 4

A = 52 cm²

Area of the yellow triangles:

Formula:

2 (1/2 Bh) (2 (half of base x height))

A = 2(1/2 5 x 12)

A = 2(1/2 60)

A = 2(30)

A = 60 cm²

Total surface area of the triangular prism:

LH + LH + LH + 2 (1/2 Bh) = Surface Area of the triangular prism (Area of the red rectangle + Area of the blue rectangle + Area of the green rectangle + Area of the yellow triangles = Total surface area of the triangular prism)

A = 20 cm² + 48 cm² + 52 cm² + 60 cm²

A = 180 cm²

5 0
2 years ago
Mrs. Lewis had $100 to purchase school supplies for her class. She bought 40 glue sticks and 40 boxes of crayons. Each glue stic
Bess [88]
Mr. Lewis | 100$
Glue = 1.50$ (x40)
Box = 0.89$ (x40)

1.50 x 40 = 60$
0.89 x 40 = 35,6$
Total spend (95,6$)

100 - 95,6 = 4,4$

Answer: 4,4$
8 0
2 years ago
If you got 11/20 on your exam, how much would it be on /100​
Serga [27]

Answer:

55/100

Step-by-step explanation:

Multiply 20 by 5 to get 100 so you multiply 11 by 5 to get 55

4 0
3 years ago
Use SUBSTITUTION to solve the system<br> y=4x<br> 2y-2x=12
olchik [2.2K]
1 Substitute
y
=
2
x
−
10
y=2x−10 into
y
=
4
x
−
8
y=4x−8.
2
x
−
10
=
4
x
−
8
2x−10=4x−8

2 Solve for
x
x in
2
x
−
10
=
4
x
−
8
2x−10=4x−8.
x
=
−
1
x=−1

3 Substitute
x
=
−
1
x=−1 into
y
=
2
x
−
10
y=2x−10.
y
=
−
12
y=−12

4 Therefore,
x
=
−
1
y
=
−
12

​

x=−1
y=−12
​
6 0
2 years ago
Other questions:
  • How can I express logbx-(logby+logbz) as a single log?
    12·1 answer
  • Write an expression using all six trigonometric functions such that the value of the expression is 3
    15·1 answer
  • 1x10 to the fifth power over 4x10 to the negative faith power given on scientific notation
    11·1 answer
  • There are 18 girls on a softball team
    12·2 answers
  • What is the solution to log (9x)-log 3 = 3?
    9·1 answer
  • Ω⊇↔↔⇆⇆∑⊕║⊕⊕⊇↔∨∞≈≠≤≥≡→↓∴∴
    9·1 answer
  • If P=(2,-1),find the image of P under the following rotation. 180 degrees counterclockwise about the origin
    9·1 answer
  • HELPPPPPPPPPPPPPPPPPPP))))))))************
    8·1 answer
  • The flow of electricity is an​
    13·1 answer
  • Find the number of choices that are possible if you choose one of 3 kinds of fruit and one of 3 kinds of vegetables.
    7·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!