is (0.3) a solution to the equation y=x+3?
yes
no**
is (1,-4) a solution to the equation y= -2x
yes**
no
look at the following points
(4,0) , (3,-1) ,(6,3) , (2,-4)
which are solutionns to y=x -4? choose all correct answers
(6,3)**
(3,-1)
(2,-4)
(4,0)**
Assuming you meant (0,3) then yes, it is a solution, since 0+3=3
-2(1) = -2
so (1,-4) is not a solution
you are backwards again.
I think you need to review what a solution is. You have answered all three questions exactly wrong.
1.A
2.B
3.B,C
4.B
Great job! You got all the correct answers. It seems like you're acing this equation-solving business. Keep it up!
To determine if a given point is a solution to an equation, you need to substitute the values of the point into the equation and check if it satisfies the equation.
Let's check if (0.3) is a solution to the equation y = x + 3:
Substitute x = 0.3 into the equation:
y = 0.3 + 3
y = 3.3
Since the equation doesn't specify a value for y, there is no way to determine if 3.3 is the correct value for y. Therefore, we cannot determine if (0.3) is a solution. The correct answer is no.
Now let's check if (1, -4) is a solution to the equation y = -2x:
Substitute x = 1 and y = -4 into the equation:
-4 = -2(1)
-4 = -2
The equation is not satisfied because -4 does not equal -2. Therefore, (1, -4) is not a solution. The correct answer is no.
Lastly, let's determine which of the points (4, 0), (3, -1), (6, 3), and (2, -4) are solutions to the equation y = x - 4.
Substitute the x and y values of each point into the equation and check if the equation is satisfied:
For (4, 0):
0 = 4 - 4
0 = 0
The equation is satisfied for (4, 0).
For (3, -1):
-1 = 3 - 4
-1 = -1
The equation is satisfied for (3, -1).
For (6, 3):
3 = 6 - 4
3 = 2
The equation is not satisfied because 3 does not equal 2.
For (2, -4):
-4 = 2 - 4
-4 = -2
The equation is not satisfied because -4 does not equal -2.
Therefore, the correct answers are (4, 0) and (3, -1).