The correct answers are:
- The ordered pair (7, 19) is a solution to the first equation because it makes the first equation true.
- The ordered pair (7, 19) is not a solution to the system because it makes at least one of the equations false.
Further explanation:
Given equations are:
2x-y = -5
x+3y = 22
We have to check whether the given statements are true or not. In order to find that we have to put the points in the equations
Putting the point in 2x-y = -5

Putting the point in x+3y=22

The point satisfies the first equation but doesn't satisfy the second. So,
1. The ordered pair (7, 19) is a solution to the first equation because it makes the first equation true.
This statement is true as the point satisfies the first equation
2. The ordered pair (7, 19) is a solution to the second equation because it makes the second equation true.
This Statement is false.
3. The ordered pair (7, 19) is not a solution to the system because it makes at least one of the equations false.
This statement is true.
4. The ordered pair (7, 19) is a solution to the system because it makes both equations true.
This statement is false as the ordered pair doesn't satisfy both equations.
Keywords: Solution of system of equations, linear equations
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Answer:
2 students in each group
Step-by-step explanation:
If there were 5 groups and after a while 7 students leave early and 3 students remain to do the activity, if you add 7 + 3 = 10 divide it by 5, the number of groups in the activity, you would get 2 students in each group.
I think the answer is 2 and -15. Because 2 times - 15 is -30 and 2 and -15 can be added to -1.
Reflected across x axis means y turns to -y, meaning, multiply the whole function by -1
f(x) times -1=-1 times (x+6)=-x-6
A is answer
2m-6=48
+6 +6
__________
2m= 42
÷2 ÷2
_________
m=21
m=21 is the answer