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
HELP PLEASE ILL GIVE BRAINLISTTTT!!!
Ber [7]

Answer:

Ok I’ll give a simple equation that your teacher probably won’t accept and one that your teacher will accept

Teacher accept: x-45=122

Not accept but way easier: 122+45=x

ALSO The answer to x: 167

Step-by-step explanation:

Heres the loop hole, they asked for 2 sentences but never declared the length of each sentence.

Explanation:

So we know that grace lost 45 pounds and at the end she weighs 122.

We don’t now what the beginning weight so we can make an equation like x-45=122 where x represents her before weight and the subtract 45 is when she lost that much and the final results of 122, if solved You’ll get her begginisng weight, 167.

8 0
3 years ago
What’s the correct answer for this?
STatiana [176]

Answer:

6.7

Step-by-step explanation:

8 0
3 years ago
What is the measure of angle 1?
Goryan [66]
The measure of angle 1 is 75°. Hope you get it.
3 0
3 years ago
Read 2 more answers
Which of the following is a factor of 2x3 – 2?
Ilya [14]
I hope this helps you

8 0
2 years ago
Read 2 more answers
Mary stated that 2.01 x 10⁶ is less than 4.8 x 10⁴ because 2.01 is less than 4.8. what was mary's mistake ?
PIT_PIT [208]

Answer:

Mary's mistake was that she didn't take into account of the power that 10 is raised to; since 2.01 is multiplied by 10 to the 6, it makes 2.01 bigger. You can also expand the number to check:

2 010 000 vs. 4800

5 0
3 years ago
Other questions:
  • What is the end behavior of the graph of the polynomial function f(x)=3x^6+30x^5+75x^4
    12·2 answers
  • The test scores of a geometry class are given below.
    6·2 answers
  • What numbers multiply to get 720
    15·1 answer
  • What substation should be used to rewrite 4x^4-21z^2+20=0
    5·1 answer
  • A positive number divided by a negative number will result in a ___ quotient.
    6·1 answer
  • Ms. Murray has a collection of 25 dimes and nickels. How many nickels does
    15·1 answer
  • HELPPPP <br><br> When y=4x-6 find y if x=1/2
    5·2 answers
  • Help like rn. Like rn please I will mark brainiest but pls help.
    12·2 answers
  • Jade is a real estate agent and is paid an annual salary of $18 000 plus a commission of 2.5% on
    11·1 answer
  • How high is a weather balloon that is tied to the ground if it is secured by a 15m long rope and the angle between the rope and
    6·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!