Which ordered pair is the solution to this system of equations? LaTeX: -x+y=8 − x + y = 8

Question

Which ordered pair is the solution to this system of equations?

LaTeX: -x+y=8

x
+
y
=
8

LaTeX: y+3x=12
y
+
3
x
=
12

Group of answer choices

(1, 9)

(9, 1)

(5, 13)

(13, 5)

in progress 0
Adeline 1 month 2021-09-13T17:53:33+00:00 2 Answers 0

Answers ( )

    0
    2021-09-13T17:54:59+00:00

    Answer:

    (1, 9 )

    Step-by-step explanation:

    Given the 2 equations

    – x + y = 8 → (1)

    y + 3x = 12 → (2)

    Subtracting (2) from (1) term by term will eliminate the term in y, that is

    (- x – 3x) + (y – y) = (8 – 12)

    – 4x = – 4 ( divide both sides by – 4 )

    x = 1

    Substitute x = 1 into either of the 2 equations and solve for y

    Substituting in (2)

    y + 3(1) = 12

    y + 3 = 12 ( subtract 3 from both sides )

    y = 9

    Solution is (1, 9 )

    0
    2021-09-13T17:55:31+00:00

    Answer:

    I think the answer is (5,13)

Leave an answer

45:7+7-4:2-5:5*4+35:2 =? ( )