## 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

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Mathematics
1 week
2021-07-22T22:48:37+00:00
2021-07-22T22:48:37+00:00 2 Answers
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## Answers ( )

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

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 solutionHope this helps!