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

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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.

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