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There is a pair of x and y values that make each equation true in this system of equations

{5x + 3y = 8
{4x + 7y = 34

Explain why the same pair of values also make 9x + 10y = 42 true.

There is a pair of x and y values that make each equation true in this system of equations 5x 3y 8 4x 7y 34 Explain why the same pair of values also make 9x 10y class=

Respuesta :

Given Equations

  • 5x+3y=8--(1)
  • 4x+7y=34--(2)

Let it has solution (x,y)

Add both

[tex]\\ \sf\longmapsto 5x+4x+3y+7y=8+34[/tex]

[tex]\\ \sf\longmapsto 9x+10y=42[/tex]

It will also have same solution (x,y)

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