Hello, I need to know if I have the right answers to these questions.
2x-y=3 question is which of the following points lie on the line. is the answer 0,3 (-1,1) (2, 1) (-3, 1) (-3, ) or (1, 2) I chose the answer (-3, 1) is that right,
second question: If x+7andY+2 then x-3y= would the answer be 1 thanks I am not good with algebra
To determine if a point lies on a line, you can substitute the point's coordinates into the equation of the line and check if the equation holds true.
Let's apply this method to the first question:
Given the equation 2x - y = 3, we need to check which of the following points lie on this line:
a) (0, 3)
b) (-1, 1)
c) (2, 1)
d) (-3, 1)
e) (-3, )
f) (1, 2)
Let's substitute the coordinates of each option into the equation and see which one satisfies it:
a) (0, 3): Substitute x = 0, y = 3 into the equation: 2(0) - 3 = 3, this is false.
b) (-1, 1): Substitute x = -1, y = 1 into the equation: 2(-1) - 1 = -3, this is false.
c) (2, 1): Substitute x = 2, y = 1 into the equation: 2(2) - 1 = 3, this is true.
d) (-3, 1): Substitute x = -3, y = 1 into the equation: 2(-3) - 1 = -7, this is false.
e) (-3, ): Since there is no value given for y in this option, we cannot determine if it lies on the line.
f) (1, 2): Substitute x = 1, y = 2 into the equation: 2(1) - 2 = 0, this is false.
Based on the above calculations, the correct answer for the first question is (2, 1), not (-3, 1).
Moving on to the second question:
You provided incomplete information for the equation. The equation you mentioned, x - 3y = 1, is missing the values for x and y. To determine the value of x - 3y, we need specific values to substitute into the equation.
Please provide the complete values for x and y in order for me to assist you further.