aliyahmorgan1133 aliyahmorgan1133
  • 24-01-2021
  • Mathematics
contestada

Is (4,-2) the solution of the system of equations shown below? 2X+4Y=-2. -4X+Y=-14. Anders: yes, no, they are the same line

Respuesta :

MrRoyal
MrRoyal MrRoyal
  • 25-01-2021

Answer:

No

Step-by-step explanation:

Given

[tex]2x + 4y = -2[/tex]

[tex]-4x + y = -14[/tex]

Required

Is (4,-2) a possible solution?

In (4,-2)

[tex]x = 4[/tex]

[tex]y = -2[/tex]

Substitute [tex]x = 4[/tex] and [tex]y = -2[/tex] in: [tex]2x + 4y = -2[/tex]

[tex]2(4) + 4(-2) = -2[/tex]

Open all brackets

[tex]2*4 - 4*2 = -2[/tex]

[tex]8 - 8 = -2[/tex]

[tex]0 \ne -2[/tex]

The above expression shows that (4,-2) is not a solution and there is no need to check for the second equation.

Answer Link

Otras preguntas

Cedar Point Amusement Park charges $51.99 for an adult admission and $26.99 for a junior admission. One Thursday, the park collected $15,591.40 from a total of
5a-b=17 3a+2b=5 Slove please
Name the energy resource that involves extracting heat from rocks
A car traveling at 22.4 m/s skids to a stop in 2.55s determine the skidding distance of the car ?
Is g(s)=4s^2/3 an odd function?
You have to write 0.63 as a fraction. How do you choose the denominator?
Is 0.3 greater or less than 0.35???
You have to write 0.63 as a fraction. How do you choose the denominator?
What is 7 8/45 as a decimal?
jens motorboat travels at a speed of 15mph in still water, the river flows at a speed of 2pmh, how long will it take jen to travel 20mi upstream? 20mi downstrea