3. Which ordered pair is a solution of the equation y=x-4?
a. (2,6)
b. (6,2)
c. (-2,6)
d. (3,1)
4. Which ordered pair is a solution of the equation y=5x?
a. (-2,10)
b. (-5, 25)
c. (-3,15)
d. (-2, -10)
5. Which ordered pair is a solution of the equation y=-5x+4?
a. (2,14)
b. (5,-29)
c. (-3,19)
d. (5, -21)
I can't see which choices you made.
simply , sub each point into the equation to see if it works
e.g. in #1
(3,1) into y = x - 4
LS(left side) = 1
RS = 3-4 = -1 , looks like that one didn't work.
Reiny - I have a question about the substitution of the ordered pairs in the above questions, shouldn't the characters follow this (x,y) format? ~~Signed Concerned
correct, I was following that format
in (3,1) , x = 3, y = 1
so in y = x - 4
I let LS = y = 1
RS = x - 4 = 3-4 = -1
so the point (3,1) does NOT lie on y = x-4
To find out which ordered pairs are solutions to the given equations, we need to substitute the values of x and y from each ordered pair into the equation and check if the equation holds true.
Let's go through each equation step by step:
3. Equation: y = x - 4
We need to check if the ordered pairs satisfy this equation.
a. (2,6)
Substitute x = 2 and y = 6 into the equation:
6 = 2 - 4
6 = -2 (Not true)
b. (6,2)
Substitute x = 6 and y = 2 into the equation:
2 = 6 - 4
2 = 2 (True)
c. (-2,6)
Substitute x = -2 and y = 6 into the equation:
6 = -2 - 4
6 = -6 (Not true)
d. (3,1)
Substitute x = 3 and y = 1 into the equation:
1 = 3 - 4
1 = -1 (Not true)
The only ordered pair that satisfies the equation is (6,2). Therefore, the answer is "b. (6,2)".
4. Equation: y = 5x
a. (-2,10)
Substitute x = -2 and y = 10 into the equation:
10 = 5(-2)
10 = -10 (Not true)
b. (-5,25)
Substitute x = -5 and y = 25 into the equation:
25 = 5(-5)
25 = -25 (Not true)
c. (-3,15)
Substitute x = -3 and y = 15 into the equation:
15 = 5(-3)
15 = -15 (Not true)
d. (-2, -10)
Substitute x = -2 and y = -10 into the equation:
-10 = 5(-2)
-10 = -10 (True)
The only ordered pair that satisfies the equation is (-2, -10). Therefore, the answer is "d. (-2, -10)".
5. Equation: y = -5x + 4
a. (2,14)
Substitute x = 2 and y = 14 into the equation:
14 = -5(2) + 4
14 = -6 (Not true)
b. (5,-29)
Substitute x = 5 and y = -29 into the equation:
-29 = -5(5) + 4
-29 = -21 (Not true)
c. (-3,19)
Substitute x = -3 and y = 19 into the equation:
19 = -5(-3) + 4
19 = 19 (True)
d. (5, -21)
Substitute x = 5 and y = -21 into the equation:
-21 = -5(5) + 4
-21 = -21 (True)
The ordered pairs that satisfy the equation are (5, -21) and (-3, 19). Therefore, the answer is "c. (-3,19)".