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The system px +qy =r; fx + gy = h has solution(3,-1), where f,g,h,p,q, and r are nonzero real numbers.

select all the systems that are also guaranteed to have the solution (3,-1). (select all that applies)

a. (p+f)x+(q+g)y= r+h and fx+gy=h

b. (p+f)x+qy= r+h and fx+(g+q)y=h

c.px+qy=r and (3p+f)x+(3q+g)y=3h+r

d. px+qy=r and (f-2p)x+(g-2q)y=h-2r

e. px+qy+r and 5fx+ 5gy

Respuesta :

MrRoyal

The equivalent system of equations that would guarantee a solution of (3,-1) are

  • a. (p+f)x+(q+g)y= r+h and fx+gy=h
  • d. px+qy=r and (f-2p)x+(g-2q)y=h-2r
  • e. px+qy+r and 5fx+ 5gy = 5h

How to determine the system of equations?

The system of equations is given as:

px +qy =r

fx + gy = h

Add both equations

(p + f)x + (q + g)y = r + h

Multiply the second equation by a constant (say 5)

5fx + 5gy = 5h

Multiply the first equation by a constant (say 2)

2px + 2qy = 2r

The combination of any of the above equations to the given equation would guarantee a solution of (3,-1)

Hence, the equivalent system of equations are (a), (d) and (e)

Read more about system of equations at:

https://brainly.com/question/14323743

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