I need help with this question attached

A. Equation 1: x + y = 18

   Equation 2: x + 2y = 25

B. The lesser number is 7 and the greater number is 11

Step-by-step explanation:

We come up with two equations with the information:

Equation 1: x + y = 18

Equation 2: x + 2y = 25

We solve the equation by substituting x (which is in terms of y):

x = 18 - y

(18 - y) + 2y = 25

y = 7

Now we substitute y into Equation 1:

x + 7 = 18

x = 11

a and c

for infinitely many solutions we require both left and right sides to be equal

distribute and simplify

a

14 - 8x = 20 - 8x - 6 = 14 - 8x ← both sides equal so infinite solutions

b

6x - 54 = 6x - 54 + x = 7x - 54 ← not equal

c

4x + 16 = 4x + 10 + 6 = 4x + 16 ← both sides equal so infinite solutions

d

5x - 40 + 10 = 5x + 10

5x - 30 = 5x + 10 ← not equal