Mathematics, 22.01.2020 21:31 minmaddiee

Which statements are true about the ordered pair (-3, 1) and the system of
equations?
(x - 4y = 6
| 3x + y = -8
select each correct answer.
the ordered pair
is a solution to the first equation because it
makes the first equation true.
the ordered pair (-3, 1) is a solution to the second equation
because it makes the second equation true.
the ordered pair
is not a solution to the system because it
makes at least one of the equations false.
is a solution to the system because it
the ordered pair
makes both equations true.

Which statements are true about the ordered pair (-3, 1) and the system of equations? (

Answers: 3

Show answers

Answers

Answer from: anhthule1011

The ordered pair (-3, 1) is not a solution to system because it makes at least one of the equations false

Solution:

Given system of equations are:

x - 4y = 6 ------- eqn 1

3x + y = -8 ------------ eqn 2

Given ordered pair is (-3, 1)

We have to check if the options are true

Let us substitute (x, y) = (-3, 1) in eqn 1

$-3 - 4(1) = 6\\\\-3 - 4 = 6\\\\-7\neq 6$

Thus the given ordered pair (-3, 1) did not satisfy the first equation

Substitute (x, y) = (-3, 1) in eqn 2

$3(-3) + 1 = -8\\\\-9 + 1 = -8\\\\-8 = -8$

Thus the given ordered pair (-3, 1) satisfied the second equation

But for a ordered pair to be a solution to system of equations, it must satisfy both the equations

Thus the ordered pair (-3, 1) is not a solution to system because it makes at least one of the equations false

Answer from: Quest

spinning a 1, 2, or 3. option d.

step-by-step explanation: when spinning a number graph up to 4, and aiming for any number less than 3, that automatically eliminates the number 4. now you have two numbers to spin on that are less than 3, but the number 3 is included in this question because it's no greater of an number than itself. i hope this you : )

Answer from: Quest

< xcy ≅ < xby

step-by-step explanation:

in δcax and δbax,

ac ≅ ab (given)< cax ≅ < bax (given)ax ≅ ax (common side)

so, δcax ≅ δbax (side-angle-side or sas)

since δcax ≅ δbax, we can conclude < acx ≅ < abx

in δacy and δaby,

ac ≅ ab (given)< cay ≅ < bay (since < cax ≅ < bax is given and xy is the extension of line ax)ay ≅ ay (common side)

so, δacy ≅ δaby (side-angle-side or sas)

since δacy ≅ δaby, we can conclude < acy ≅ < aby

now,

< acy ≅ < aby

=> < acx + < xcy ≅ < abx + < xby

=> < acx + < xcy ≅ < acx + < xby (since < acx ≅ < abx already proved above)

subtracting < acx from both sides, we get

< acx + < xcy -< acx ≅ < acx + < xby -< acx

cancelling out < acx and -< acx from both sides, we get

< xcy ≅ < xby (proved)

Use a paragraph, flow chart, or two-column proof to prove the angle congruency. given: ∠cxy ≅ ∠bxy

Other questions on the subject: Mathematics

Mathematics, 21.06.2019 13:30, Gabby1128

We must first determine the shape of a rectangular prisms _ a0 to find area of the prism

Answers: 3

continue

Mathematics, 21.06.2019 20:20, oofoofoof1

Sample response: if the graph passes the horizontaline test, then the function is one to one. functions that are one to one have inverses that a therefore, the inverse is a hinction compare your response to the sample response above. what did you include in your explanation? a reference to the horizontal-line test d a statement that the function is one-to-one the conclusion that the inverse is a function done

Answers: 2

continue

Mathematics, 21.06.2019 21:00, tmanpierce

Write the equation in logarithmic form m^x=n

Answers: 1

continue

Mathematics, 21.06.2019 21:10, koolgurl2003

Starting at home, emily traveled uphill to the hardware store for 606060 minutes at just 666 mph. she then traveled back home along the same path downhill at a speed of 121212 mph. what is her average speed for the entire trip from home to the hardware store and back?

Answers: 1

continue

You know the right answer?

Which statements are true about the ordered pair (-3, 1) and the system of
equations?
(...