12. What is the solution of the system of equations? y = – 2x + 5 y = -2x + 20 no solution (1,3) infinitely ma

Question

12. What is the solution of the system of equations?
y = – 2x + 5
y = -2x + 20
no solution
(1,3)
infinitely many solutions

in progress 0
Yến Oanh 1 week 2021-07-22T22:48:37+00:00 2 Answers 1 views 0

Answers ( )

    0
    2021-07-22T22:50:20+00:00

    Answer:

    no solutions

    Step-by-step explanation:

    y = – 2x + 5

    y = -2x + 20

    Set the two equations equal

    – 2x + 5  = -2x + 20

    Add 2x to each side

    – 2x+2x + 5  = -2x+2x + 20

    5 = 20

    This is never true so there are no solutions

    0
    2021-07-22T22:50:25+00:00

    Answer:

    no solution

    Step-by-step explanation:

    Hi there!

    We are given this system of equations:

    y=-2x+5

    y=-2x+20

    and we want to find the solution (the point in which the lines intersect)

    There are 3 ways to solve a system, but let’s use substitution in this case

    Both equations are set to y, so they should be equal to each other via a property known as transitivity (if a=b and b=c, then a=c)

    -2x+5=-2x+20 (the same as y=y)

    Now let’s solve for x

    add 2x to both sides

    5=20

    In this case, we got an untrue statement. If this happens, then the lines won’t intersect.

    If they won’t intersect, there’s no solution

    Hope this helps!

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