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
mart [117]
3 years ago
13

Solve this system. Write your answer as an ordered pair.

Mathematics
1 answer:
yarga [219]3 years ago
6 0
Y = -3 + 5x ----------------- (1)
3x - 8y = 24 --------------- (2)     

Solve by substitution. We will substitute equation (1) into equation (2):

------------------------------------------------------------
Substitute equation (1) into equation (2) :
------------------------------------------------------------
3x - 8y = 24                 // Equation (2)
3x - 8(-3 + 5x) = 24      // Sub x = -3 + 5x
3x + 24 - 40x = 24        // Apply distributive property
-37x + 24 = 24              // Combine like terms      
-37x = 0                        // Take away 24 from both sides
x = 0                             // Divide by -37 on both sides

Sub x = 0 into equation (1) :
y = - 3 + 5(0)                   // Sub x = 0
y = -3                               // Combine like terms

-----------------------------------------------
Answer : The ordered pair is (0, -3).
-----------------------------------------------      
You might be interested in
Emily estimated it would take her 40 minutes to run 3 miles. It actually took her 30 minutes. What was Emily's percent of error
Anton [14]

Answer:

C. 33.3%

Step-by-step explanation:

Estimated time = 40 minutes

Actual time = 30 minutes

Percent of error = (estimated time - actual time) / actual time × 100

= (40 minutes - 30 minutes) / 30 minutes × 100

= 10 minutes / 30 minutes × 100

= 0.3333 × 100

= 33.3%

Percent of error = 33.3%

C. 33.3%

6 0
3 years ago
What is 4 pounds 5 ounces converted to pounds
nydimaria [60]
4.3125 pounds is the answer
3 0
3 years ago
A nut mixture of peanuts and pecans at a small fair is $1.00 per pound of peanuts and $2.85 per pound of pecans. Over the entire
Tresset [83]
The answer to the question

8 0
4 years ago
HELP! How do you get it to equal 2/sin(theta)?
wariber [46]
\bf \textit{recall that }sin^2(\theta)+cos^2(\theta)=1\\\\
-------------------------------\\\\
\cfrac{sin(\theta )}{1-cos(\theta )}+\cfrac{1-cos(\theta )}{sin(\theta )}=\cfrac{2}{sin(\theta )}\\\\
-------------------------------\\\\
\cfrac{sin^2(\theta )~~+~~[1-cos(\theta )]^2}{[1-cos(\theta )][sin(\theta )]}\implies \cfrac{sin^2(\theta )~~+~~[1^2-2cos(\theta )+cos^2(\theta )]}{[1-cos(\theta )][sin(\theta )]}

\bf \cfrac{sin^2(\theta )+cos^2(\theta )~~+~~1-2cos(\theta )}{[1-cos(\theta )][sin(\theta )]}\implies \cfrac{\boxed{1}~~+~~1-2cos(\theta )}{[1-cos(\theta )][sin(\theta )]}
\\\\\\
\cfrac{2-2cos(\theta )}{[1-cos(\theta )][sin(\theta )]}\implies \cfrac{2\underline{[1-cos(\theta )]}}{\underline{[1-cos(\theta )]}[sin(\theta )]}\implies \cfrac{2}{sin(\theta )}
5 0
4 years ago
Someone help ASAP solve -5x^2+7x=-9
Ray Of Light [21]

Answer:

x=\frac{7 +/-\sqrt{229} }{10}

Step-by-step explanation:

To solve the quadratic, use inverse operations to set it equal to 0.

-5x^2+7x=-9\\-5x^2+7x+9=0

To solve, use the quadratic formula and substitute a= -5, b= 7 and c= 9.

x=\frac{-b +/-\sqrt{b^2-4ac} }{2a} \\\\x=\frac{-7 +/-\sqrt{7^2-4(-5)(9)} }{2(-5)} \\\\x=\frac{-7 +/-\sqrt{49+180} }{-10} \\\\x=\frac{7 +/-\sqrt{229} }{10}

5 0
4 years ago
Other questions:
  • How do I get the value and product of the same value if (1/6)^3
    10·1 answer
  • The sum of interior angle of a regular polygon is 1980 . Find its angle .
    15·1 answer
  • Evaluate the function.<br> f(x) = -3x2 – 20<br> Find f(-9)
    15·1 answer
  • I need help someone= R-7=1
    13·2 answers
  • Darron uses a family recipe to make hamburgers. If he plans on using 1 1/3 cups of bread crumbs, about how many pounds of hambur
    10·1 answer
  • How much time will Alex need to walk to his school, which is 2 1/4 miles away from his house, if he would walk with the speed of
    5·1 answer
  • Trevor solved the system of equations below. What mistake did he make in his work? 2x + y = 5 x − 2y = 10 y = 5 − 2x x − 2(5 − 2
    6·1 answer
  • The slope of a line that passes through two points ( 2, 3) and ( 5, 9 ) is
    11·1 answer
  • A wagon is pulled along level ground by exerting a force of 38 pounds on a handle that makes an angle of 30 with the horizontal.
    15·1 answer
  • A driver travels the first 240 km of a 600-km journey at an average speed of 60 km/h. If the time taken for the whole journey is
    9·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!