Answer:
We conclude that (4, 2) is NOT a solution to the system of equations.
Step-by-step explanation:
Given the system of equations


Important Tip:
- In order to determine whether (4, 2) is a solution to the system of equations or not, we need to solve the system of equations.
Let us solve the system of equations using the elimination method.

Arrange equation variables for elimination

Subtract the equations




Now, solve -2x = 6 for x

Divide both sides by -2

Simplify

For y - x = -2 plug in x = -3


Subtract 3 from both sides

Simplify

The solution to the system of equations is:
(x, y) = (-3, -5)
Checking the graph
From the graph, it is also clear that (4, 2) is NOT a solution to the system of equations because (-3, -5) is the only solution as we have found earlier.
Therefore, we conclude that (4, 2) is NOT a solution to the system of equations.
Answer:
36 years old
Step-by-step explanation:
let x = age of Rachael
2x+3 = current ages combined
[(2x+3)+4]+4 = 75
2x+11 = 75
2x = 75-11
2x = 64
x = 32
Rachel is 32 years old. Isaac is 3 years older, which is 35 years old.
Hope this helped! If you need any help, tell me in the comments.
Answer:
12
Step-by-step explanation:
(0.4+ 1.6) x 6 = 2 x 6 = 12