Which ordered pair is a solution of y = x - 5?(1 point) Responses (7, 2) (7, 2) (11, 4) (11, 4) (2, 7) (2, 7) (2, 3)
(7, 2)
solve.
10+x/3=1
7 (3x-4)=49
1.3+0.5x=-3.41
To solve these equations, we will work through each one step by step:
1) 10 + x/3 = 1
To isolate the x-term, we can subtract 10 from both sides:
10 - 10 + x/3 = 1 - 10
x/3 = -9
To remove the fraction, we can multiply both sides by 3:
3 * (x/3) = -9 * 3
x = -27
Therefore, the solution to the equation is x = -27.
2) 7(3x - 4) = 49
We can distribute the 7 on the left side of the equation:
7 * 3x - 7 * 4 = 49
21x - 28 = 49
Next, we can add 28 to both sides to isolate the x-term:
21x - 28 + 28 = 49 + 28
21x = 77
To solve for x, we divide both sides by 21:
21x/21 = 77/21
x = 3.67
Therefore, the solution to the equation is x = 3.67.
3) 1.3 + 0.5x = -3.41
To isolate the x-term, we can subtract 1.3 from both sides:
1.3 - 1.3 + 0.5x = -3.41 - 1.3
0.5x = -4.71
Next, to solve for x, we divide both sides by 0.5:
0.5x/0.5 = -4.71/0.5
x = -9.42
Therefore, the solution to the equation is x = -9.42.
To determine which ordered pair is a solution of the equation y = x - 5, we can substitute the x and y values of each pair into the equation and check if it is true.
Let's check each ordered pair:
1. (7, 2):
Substituting x = 7 and y = 2 into the equation:
2 = 7 - 5
2 = 2 (This is true)
2. (11, 4):
Substituting x = 11 and y = 4 into the equation:
4 = 11 - 5
4 = 6 (This is false)
3. (2, 7):
Substituting x = 2 and y = 7 into the equation:
7 = 2 - 5
7 = -3 (This is false)
4. (2, 3):
Substituting x = 2 and y = 3 into the equation:
3 = 2 - 5
3 = -3 (This is false)
Therefore, only the ordered pair (7, 2) is a solution of the equation y = x - 5.
To determine which ordered pair is a solution of the equation y = x - 5, we need to substitute the x-coordinate and y-coordinate of each ordered pair into the equation and check if it holds true.
Let's start with the first ordered pair (7, 2):
y = x - 5
Substituting x = 7 and y = 2:
2 = 7 - 5
2 = 2
Since the equation holds true for this ordered pair, (7, 2) is a solution.
Now let's check the second ordered pair (11, 4):
y = x - 5
Substituting x = 11 and y = 4:
4 = 11 - 5
4 = 6
Since the equation does not hold true for this ordered pair, (11, 4) is not a solution.
Similarly, we can check the remaining ordered pairs. After checking all of them, we find that the only ordered pair that is a solution of y = x - 5 is (7, 2).