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
12345 what is the answer if you multiply 1x2x3x4x5 and do the same with subtraction, addition and devision, in that order. Then
Alexandra [31]

Well, we just need to perform the operations:

  • Multiplication: 1\cdot 2 \cdot 3 \cdot 4 \cdot 5 = 120
  • Subtraction: 1-2-3-4-5 = -13
  • Addition: 1+2+3+4+5 = 15
  • Division: 1 \div 2 \div 3 \div 4 \div 5 = \frac{1}{120}

So, if you add all the numbers together you get

120-13+15+\dfrac{1}{120} = 122 + \dfrac{1}{120}

Or, if you prefer,

\dfrac{1681}{120}

8 0
3 years ago
Nga
andrezito [222]

Answer:

Step-by-step explanation:

5 0
2 years ago
Draw 3 rows with 2 counters
Volgvan

Answer


It would be 3x2 which equals 6


Example-

8 0
3 years ago
Can someone help me ​
ICE Princess25 [194]

Answer:

S=49

Step-by-step explanation:

Any triangle has an interior angle of 180.

So just add them up and set the sum equal to 180 degrees.

2s+s+33=180

3s=180-33

3s=147 .   Divide both sides by 3 to isolate variable s

s=49

7 0
2 years ago
Read 2 more answers
For f(x) = 2x +1 and g(x) = x^2-7, find (f/g) (x)
Rashid [163]
the answer is (f/g)(x) = 2(x^2 - 7) + 1
= 2x^2 - 14 + 1
= 2x^2 - 13
5 0
3 years ago
Other questions:
  • Which biconditional is NOT a good definition? A. Two line segments are congruent if and only if they are of same length. B. An a
    12·2 answers
  • Find the value of y when x=2 -x-(-2)=y​
    8·1 answer
  • Two times the number of red tiles in a bag is the same as 50% of the number of red tiles in the bag
    6·1 answer
  • PLEASE EXPLAIN Find the area and perimeter of the rectangle whose sides are lengths 2x + 3 and 4x
    15·1 answer
  • Pls help its due today
    11·1 answer
  • The waiting times between a subway departure schedule and the arrival of a passenger are uniformly distributed between 0 and 9 m
    9·1 answer
  • CAN YOU HELP ME WITH MY MATH WORK
    11·2 answers
  • For which system of equations is (-2,2)
    9·1 answer
  • Adiciones racinales 1/7+3/7+2/7
    6·1 answer
  • Jeff mordon drives 140 mile in 4 hours
    7·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!