HELP ME OR I WILL FAIL MATH!the sum of 2 numbers is 49. Twice the smaller number is 97 less than 3 times the larger number. What are the 2 numbers?

60 and 9

Step-by-step explanation:

the sum of 2 numbers is 49. Twice the smaller number is 97 less than 3 times the larger number. the two numbers would be 60 and 9

10 and 39

Step-by-step explanation:

Let the smaller number be x and the larger number be y.

x +y= 49 (1)

2x= 3y -97 (2)

From (1):

x= 49 -y (3)

Substitute (3) into (2):

2(49 -y)= 3y -97

Expand:

98 -2y= 3y -97

Bring y terms to one side, constant to the other:

3y +2y= 98 +97

Simplify:

5y= 195

Divide both sides by 5:

y= 195 ÷5

y= 39

Substitute y= 39 into (3):

x= 49 -39

x= 10

Thus, the two numbers are 10 and 39.

"image"

step-by-step explanation:

in most of these problems, the notation is that the point with a "prime" is the image of the point without. that is, b' is the image of b.

here, there is no dilation or reflection. there is simply translation (with no direction shown). which figure you call the "preimage" and which one you call the "image" is up to you. as a matter of convention, the naming is as described above.