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
raketka [301]
3 years ago
13

Use the matrix tool to solve the system of equations. Choose the correct ordered pair.3x + 5y = 42 6x + 5y = 54

Mathematics
1 answer:
kobusy [5.1K]3 years ago
5 0
Solutions  

In Matrix we use initially based on systems of linear equations.The matrix method is similar to the method of Elimination as but is a lot cleaner than the elimination method.Solving systems of equations by Matrix Method involves expressing the system of equations in form of a matrix and then reducing that matrix into what is known as Row Echelon Form.<span> 

Calculations 

</span>⇒ <span>Rewrite the linear equations above as a matrix 
</span>
\left[\begin{array}{ccc}3&5&42\\6&5&54\\\end{array}\right] 

⇒  Apply to Row₂ : Row₂ - 2 <span>Row₁ 
</span>
\left[\begin{array}{ccc}3&5&42\\0&-5&-30\\\end{array}\right] 

⇒ <span>Simplify rows
</span>
\left[\begin{array}{ccc}3&5&42\\0&1&6\\\end{array}\right] 

Note: The matrix is now in echelon form.
<span>The steps below are for back substitution. 
</span>
⇒ Apply to Row₁<span> : Row</span>₁<span> - </span>5 Row₂ 

\left[\begin{array}{ccc}3&0&12\\0&1&6\\\end{array}\right] 

⇒ <span>Simplify rows 
</span>
\left[\begin{array}{ccc}1&0&4\\0&1&6\\\end{array}\right] 

⇒ <span>Therefore, 
</span>
x=4&#10;&#10;y = 6
<span> 

 
</span>

You might be interested in
All the members of a construction crew work at the same pace. Six of them working together are able to pour foundation in 22 hou
beks73 [17]

Answer:

All the members of a construction crew work at the same pace. Four of them working together are able to pour concrete foundations in 32 hours.

Step-by-step explanation:

8 0
2 years ago
Joyce rented a booth at a carnival at a cost of $95 to sell handmade beaded necklaces. The cost of making and packaging each bea
xz_007 [3.2K]

Answer:

To make a profit of at least $500 she must sell at least 12 necklaces

Step-by-step explanation:

Joyce rented a booth at a carnival at a cost of $95 to sell handmade beaded necklaces. The cost of making and packaging each beaded necklace was $15. If Joyce sells the beaded necklaces at $35 each then we have to find beaded necklaces she sell to make a profit of at least $500.

The costs side of the equation, we have:

Let no. of necklaces that she sell are x

∴ The cost of making and packaging x beaded necklace is $15x

Total Cost = 95+15x

Now, Joyce sells the beaded necklaces at $35 each. Therefore, selling price will be $35x

To make a profit of at least $500 the equation can be written as

95+15x+500\leq35x

595\leq50x

⇒ x\geq11.9=12

Hence,  to make a profit of at least $500 she must sell at least 12 necklaces



7 0
3 years ago
Read 2 more answers
O
jek_recluse [69]

18 km apart

You subtract 33 and 15

7 0
3 years ago
Solve for 'm': m - 7 = -13 + m
lesya [120]

Answer:

m - 7 = -13 + m

Step-by-step explanation:

8 0
3 years ago
Solve the system of equations by any method.
Fofino [41]
The answer is <span>C. (4/9, -2 7/8)</span>
4 0
3 years ago
Read 2 more answers
Other questions:
  • How do I find the perimeter of a triangle?
    14·2 answers
  • a phone sells for $250 it is now on sale for 1/5 off the original price april has a coupon for an extra 10% off the sale price.T
    6·2 answers
  • Explain why the initial value of any function of the form f<br> (x) = a(b') is equal to a.
    11·1 answer
  • The EXPAND equation of the polynomial function is f(x)= (x-2)(x-5)(x-sqrt3)(x+sqrt3) 15 POINTS Please explain as well if you can
    15·1 answer
  • Drag the tiles to the correct boxes to complete the pairs. Not all tiles will be used.
    9·1 answer
  • PLEASE HELP NOWWWWWWWWWWW
    15·2 answers
  • If Jasmine's gross earnings are $400 per week, then what is her net weekly pay after
    14·1 answer
  • Examine the given sequence. Which statement is not correct?
    11·2 answers
  • Identify the equation in slope-intercept form for the line containing the point (2,1) and parallel to y=5/3x−1/3.
    6·1 answer
  • The function f(x)=−4x4+3x3−2x2−x+5 is/has A. order 2 rotational symmetry about the origin
    5·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!