Mathematics, 11.12.2019 09:31 sclifton2014

Which statements are true about the ordered pair (2, 3) and the system of equations?

3x+4y=182x−2y=23x+4y=182x−2y=2

select each correct answer.

when (2, 3) is substituted into the first equation, the equation is false.

the ordered pair (2, 3) is a solution to the system of linear equations.

when (2, 3) is substituted into the first equation, the equation is true.

when (2, 3) is substituted into the second equation, the equation is false.

when (2, 3) is substituted into the second equation, the equation is true.

the ordered pair (2, 3) is not a solution to the system of linear equations.

Answers: 1

Show answers

Answers

Answer from: Dweath50

3x + 4y = 18(2,3)
3(2) + 4(3) = 18
6 + 12 = 18
18 = 18...correct

2x - 2y = 2(2,3)
2(2) - 2(3) = 2
4 - 6 = 2
-2 = 2...incorrect

when (2,3) is subbed into equation 1, it is true
when (2,3) is subbed into the second equation, it is false
the ordered pair (2,3) is not a solution to the system of linear equations

Answer from: amanquen35

When (2, 3) is substituted into the first equation, the equation is true

When (2, 3) is substituted into the second equation, the equation is false

The ordered pair (2, 3) is not a solution to the system of linear equations

Step-by-step explanation:

we have

3x + 4y = 18 --------> First equation

2x - 2y = 2 --------> Second equation

we know that

If a ordered pair is a solution of a system of linear equations

then

the ordered pair must be satisfy the first and the second equation of the system of linear equations

Statements

case A) When (2, 3) is substituted into the first equation, the equation is false

The statement is false

Substitute the value of x and the value of y of the point (2, 3) in the first equation

3(2) + 4(3) = 18

18 = 18 -------> is true

therefore

the point (2, 3) is a solution of the first equation

case B) The ordered pair (2, 3) is a solution to the system of linear equations

The statement is false

Because, the ordered pair (2, 3) is not a solution of the second equation

Verify

Substitute the value of x and the value of y of the point (2, 3) in the second equation

2(2) - 2(3) = 2

-2 = 2 ------> is not true

therefore

the ordered pair (2, 3) is not a solution of the second equation

case C) When (2, 3) is substituted into the first equation, the equation is true

The statement is true

Substitute the value of x and the value of y of the point (2, 3) in the first equation

3(2) + 4(3) = 18

18 = 18 -------> is true

therefore

the point (2, 3) is a solution of the first equation

case D) When (2, 3) is substituted into the second equation, the equation is false

The statement is true

Substitute the value of x and the value of y of the point (2, 3) in the second equation

2(2) - 2(3) = 2

-2 = 2 ------> is not true

case E) When (2, 3) is substituted into the second equation, the equation is true

The statement is false

Substitute the value of x and the value of y of the point (2, 3) in the second equation

2(2) - 2(3) = 2

-2 = 2 ------> is not true

case F) The ordered pair (2, 3) is not a solution to the system of linear equations

The statement is true

Because, the ordered pair (2, 3) is not a solution of the second equation

Answer from: Quest

inequality:

620-37.4p ≥ 450

the minimum amount of packages needed to be removed from the elevator is 5.

step-by-step explanation:

Answer from: Quest

step-by-step explanation:

Which of the following are necessary when proving that the diagonals of a rectangle are congruent?

Other questions on the subject: Mathematics

Mathematics, 21.06.2019 17:40, challenggirl

Find the volume of the described solid. the solid lies between planes perpendicular to the x-axis at x = 0 and x=7. the cross sectionsperpendicular to the x-axis between these planes are squares whose bases run from the parabolay=-31x to the parabola y = 30/x. a) 441b) 147c) 864d) 882

Answers: 1

continue

Mathematics, 21.06.2019 21:00, shay8181

Someone me i need with this stuff

Answers: 2

continue

Mathematics, 22.06.2019 01:00, s27511583

The weight of 46 new patients of a clinic from the year 2018 are recorded and listed below. construct a frequency distribution, using 7 classes. then, draw a histogram, a frequency polygon, and an ogive for the data, using the relative information from the frequency table for each of the graphs. describe the shape of the histogram. data set: 130 192 145 97 100 122 210 132 107 95 210 128 193 208 118 196 130 178 187 240 90 126 98 194 115 212 110 225 187 133 220 218 110 104 201 120 183 124 261 270 108 160 203 210 191 180 1) complete the frequency distribution table below (add as many rows as needed): - class limits - class boundaries - midpoint - frequency - cumulative frequency 2) histogram 3) frequency polygon 4) ogive

Answers: 1

continue

Mathematics, 22.06.2019 05:30, boo8181

Explain whether this dilation is an enlargement or a reduction, and how you know.

Answers: 2

continue

You know the right answer?

Which statements are true about the ordered pair (2, 3) and the system of equations?

3x...