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
notsponge [240]
4 years ago
13

Solve the system of equations using substitution -3x + 2y = 12 x = 2y - 8

Mathematics
1 answer:
SCORPION-xisa [38]4 years ago
5 0

Answer:

(-2, 3)

Step-by-step explanation:

Given the system of equations:

-3x + 2y = 12

x = 2y - 8

You can 'substitute' the expression '2y - 8' for the value of 'x' in the first equation and solve for 'y':

-3(2y - 8) + 2y = 12

Distribute: -6y + 24 + 2y = 12

Combine like terms: -4y + 24 = 12

Subtract 24 from both sides: -4y + 24 - 24 = 12 - 24 or -4y = -12

Divide both sides by -4: -4y/-4 = -12/-4  or y = 3

Use y = 3 to solve for 'x':

x = 2(3) - 8 or 6 - 8

x = -2

(-2, 3)

You might be interested in
Next Save 5 A student earns $70 over the summer. He spends of the total amount on movies. He then spends į of the remaining mone
Ganezh [65]

the student has left 75 because if you add 5 and 70 it gives you $75 that's how much the student had left.

6 0
3 years ago
Suppose an investment account is opened with an initial deposit of $11,000 earning 7.2% interest. Round all answers to the neare
Bingel [31]

Answer:$800 to the nearest dollar

Step-by-step explanation:

To find this

7.2/100×$11000

=$792

To the nearest dollar

$800

8 0
3 years ago
Question 4 of 10
ludmilkaskok [199]

Answer:

Option C. 3√3

Step-by-step explanation:

Please see attached photo for brief explanation.

In the attached photo, we obtained the following:

Opposite = a

Adjacent = 3

Hypothenus = 6

Angle θ = 60°

We can obtain the value of 'a' as follow:

Tan θ = Opposite /Adjacent

Tan 60° = a/3

Cross multiply

a = 3 x Tan 60°

But: Tan 60° = √3

a = 3 x Tan 60°

a = 3 x √3

a = 3√3

Therefore, the length of the altitude of the equilateral triangle is 3√3.

5 0
3 years ago
Jon's closet has 3 black shirts, 8 blue shirts, 6 black pants and 7 blue pants. He wants to determine the probability of selecti
algol [13]

Answer:

Jon did determine the probability correctly.

Step-by-step explanation:

<em>In Jon's closet, there are a total of 24 clothes. Among those pieces of clothing, there are a total of 9 out of 24 clothes that are black. There are also 11 shirts out of 24 clothes. </em>

<em />

<em>When a probability has OR in it, it means to add.</em>

<em />

<em>11/24 plus 9/24 gives you 20/24.</em>

<em />

<em>Therefore, Jon is correct.</em>

<em />

3 0
3 years ago
Multiply.
ANTONII [103]

The multiplication of the expression (x² + 3x + 2) (2x² + 3x + 1) is 2x⁴ + 9x³ + 14x² + 9x + 2

<h3>Multiplication</h3>

(x² + 3x + 2) (2x² + 3x + 1)

= 2x⁴ + 3x³ + x² + 6x³ + 9x² + 3x + 4x² + 6x + 2

  • collect like terms

= 2x⁴ + 3x³ + 6x³ + x² + 9x² + 4x² + 3x + 6x + 2

= 2x⁴ + 9x³ + 14x² + 9x + 2

Learn more about multiplication:

brainly.com/question/10873737

#SPJ1

8 0
2 years ago
Other questions:
  • Write an equation in slope -intercept form for a line that passes through (-2,7) and (14,21)
    6·1 answer
  • What is the value of X? (8y+12) (7x+4)​
    9·1 answer
  • 4. Find the lateral and total surface area of<br> the prism.
    8·1 answer
  • What is the probability of drawing a black ace followed by a heart out
    9·1 answer
  • Which equation represents an exponential function that passes through the point (2,80)
    8·2 answers
  • Select the correct answer.
    8·2 answers
  • Find the mean of the data in the bar chart below.
    5·2 answers
  • Pls help Which of the following exponential equations is equivalent to the logarithmic equation below ? In x = 7
    13·1 answer
  • Write a cubic function whose graph is shown
    13·1 answer
  • Help help help help
    7·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!