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Find the ordered pair \((x,y)\) in this system of equations:

 

\(\frac{5}{2}x-2y=-12+2x\)

 

\(5x+11y=97-7x+4y\)

 Jan 10, 2024
 #1
avatar+128732 
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Simplify these as

 

(1/2)x - 2y =  -12      (1)

12x + 7y =  97         (2) 

 

Multiply (1) through by 2

x  - 4y  = -24   →  x =  4y - 24    (3)

 

Sub (3)  into (2) for x

 

12 (4y -24) + 7y  = 97

48y - 288 +7y   = 97

55y  = 385

y = 385/ 55  =   7

 

x = 4(7) - 24  =  4

 

(x, y)  = (4, 7)

 

 

cool cool cool

 Jan 10, 2024

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