Question

Which system of equations is equivalent to the following system? 3x + 5y = 29 x + 4y = 16 3x + 5y = 29 −x − 4y = 16 3x + 5y = 29 −3x − 12y = −48 −3x − 5y = 29 x + 4y = 16 −9x − 15y = 87 x + 4y = 16

Answer 1

Answer:

Option 3x+5y=29 and -3x-12y=-48 is the system of equations equivalent to the given system of equations 3x+5y=29 and x+4y=16

Step-by-step explanation:

Given system of equations  is 3x+5y=29 and x+4y=16

To find the equivalent system of equations to the given system of equations :

Option 3x+5y=29 and -3x-12y=-48 is the system of equations represents the given system of equations.

Because we can write the given equations as below

3x+5y=29 and x+4y=16

x+4y=16 rewritting as below

When multiply the above equation into (-3) we get

$(-3)\times (x+4y)=16\times (-3)$

$-3x-4y=-48$ as same as the equation x+4y=16 so we can say that they are equivalent

Therefore Option 3x+5y=29 and -3x-12y=-48 is the system of equations represents the given system of equations

Therefore 3x+5y=29 and -3x-12y=-48 is the system of equations equivalent to the given system of equations 3x+5y=29 and x+4y=16