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
Paha777 [63]
3 years ago
9

Find the ordered pair that makes both the equations below true

Mathematics
1 answer:
NNADVOKAT [17]3 years ago
7 0

Answer:

(3, 1)

Step-by-step explanation:

(a) Algebraic solution

(1)  y = -⅔x + 3

(2) y =   2x  - 5

Set Equation (1) equal to Equation (2)

-⅔x + 3 = 2x - 5

Multiply each side by 3

-2x + 9 = 6x - 15

Add 15 to each side

-2x + 24 = 6x

Add 2x to each side

24 = 8x

Divide each side by 3

(3) x = 3

Substitute (3) into (2)

y = 2×3 - 5 = 6 - 5 = 1

The ordered pair that makes both equations true is (3, 1).

(b) Graphical solution

In the diagram below, the red line is the graph of Equation (1). The blue line is the graph of Equation (2). The point of intersection is at (3, 1).

You might be interested in
A 45-year-old client diagnosed with colon cancer states, "I do not want any treatment. I have not seen any family members in 25
Kruka [31]

Answer:

3,2,1,4

Step-by-step explanation:

I am a loner, I have not seen any of my family in 25 years, beside, i will decide when and how i want to die. I do not want any treatment.

7 0
3 years ago
Read 2 more answers
A model is made of a car. The car is 9 feet long and the model is 6 inches long. What is the ratio of the length of the car to t
velikii [3]

Answer:

B

Step-by-step explanation:

To answer this, we need to see the to see to the fact that they are both in the same unit before we can take the ratio.

Firstly, we know that 1 foot = 12 inches. 9 feet would this be 9 * 12 = 108 inches.

Now we are told to get the ratio of length of car to length of model.

This means 108:6 = 18:1

5 0
3 years ago
Read 2 more answers
How do you multiply a mixed fraction by a regular fraction
Dmitriy789 [7]

Well, you first have to make the mixed fraction into an improper fraction. You then multiply the two fractions and ad the whole number into the total.

That's how i was taught back in the 4th grade... i'm not sure if it's correct but i hope it is-

3 0
3 years ago
What does y = 5/4x - 2 y = -1/4x + 19 equal
emmasim [6.3K]

Answer:

The solution is at the point (14, 15.5)

Step-by-step explanation:

I graphed the equations on the graph below.

If this answer is correct, please make me Brainliest!

5 0
3 years ago
Y= - x+2 Y=3x-4<br> Estimate the solution to the system of equations
IrinaVladis [17]

Answer:

x=\frac{3}{2}\\ y=\frac{1}{2}

Step-by-step explanation:

y=-x+2\\y=3x-4

Let's solve one of them for x.

y=3x-4

Add 4

y+4=3x

Divide by 3.

x=\frac{y+4}{3}

Now, plug the value of y in the formula, or you can plug the value of x in the other equation. I'll take this one.

x=\frac{y+4}{3}

x=\frac{(-x+2)+4}{3}

x=\frac{-x+2+4}{3}

x=\frac{-x+6}{3}

Multiply by 3 to get rid of the denominator.

3x=-x+6

add x

3x+x=6

Combine like terms;

4x=6

Divide by 4.

x=\frac{6}{4}

Simplify.

x=\frac{3}{2}

Now that you found the value of x, replace it in any of the equations to find y.

y=-x+2\\y=-(\frac{3}{2})+2\\ y=-\frac{3}{2}+2

y=\frac{-3+2*2}{2} \\y=\frac{-3+4}{2} \\y=\frac{1}{2}

Proof:

y=3x-4\\\frac{1}{2}=3(\frac{3}{2})-4\\\frac{1}{2}=(\frac{9}{2})-4

\frac{1}{2}=\frac{9-4*2}{2}

\frac{1}{2}=\frac{9-8}{2}

\frac{1}{2}=\frac{1}{2}

8 0
3 years ago
Other questions:
  • W = WI , solve for I
    15·2 answers
  • What additional information would you need to prove that ΔABC ≅ ΔDEF by ASA
    10·1 answer
  • How is shading a grid to show 1 tenth different from shading a grid to show 1 hundredth ?
    13·1 answer
  • Marcus receives an inheritance of 6,000 he decides to invest the money in a 14-year certificate of deposit that pays 6.5% intere
    11·1 answer
  • Maria and Alex are opening a savings accounts. Maris deposits $50, she plans to add $10 each week. Alex deposits $30, he plans t
    15·1 answer
  • Simplify the quadratic term by squaring the (x+1) term.
    9·1 answer
  • Find the value of y.<br> Please help :(
    5·1 answer
  • Madison and Tyler each wrote an expression that is equivalent to 14.1 (19.8 + 7.6). The expressions they created are shown in th
    11·2 answers
  • A number x is equal to 7. 24. 48. What is the smallest positive integer y such that the product xy is a perfect cube
    11·1 answer
  • Please help, I’ll give 45 points!!
    10·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!