Question

Which system is equivalent to y= 9x^2 x+y=5 ?

Answer 1

Answer : Option A

Explanation:

we can clearly see that from x+ y=5 we can substitute  y = 5-x in y = 9x^2

Option B is clearly incorrect  x can not be y -5

Option C  is incorrect because y can not be 5 +x

Option D is incorrect because  its y = 9x^2 not y^2 =9x^2 so y can not be 3x

if its y^2 = 9x^2 then  only  implies y =  3x

Answer 2

Answer:

Option 1st is correct

$5-x= 9x^2$

$y = 5-x$

Step-by-step explanation:

Given the equations:

$y = 9x^2$      .....[1]

$x+y = 5$         .....[2]

We can write equation [2] as:

$y = 5-x$

Now, substitute this y value in [1] we have;

$5-x= 9x^2$

Therefore, the system which is equivalent to the given system equation is,

$5-x= 9x^2$

$y = 5-x$