Question

Complete each ordered pair so that it is a solution of the given linear equation. X-2y=-3; ( , ), ( 7 , )

The first ordered pair is ( , 3).
a. (1,2)
b. (1,4)
c. (5,4)
d. (5,3)

Answer 1

Using substitution, we find the complete ordered pairs for the linear equation X-2y=-3 to be (3,3) and (7,5). None of the given options include these pairs.

Step-by-step explanation:

To complete each ordered pair so that it is a solution of the given linear equation X-2y=-3, we need to solve for the missing value in each pair using the equation. Let's first identify the ordered pair missing the x-value when y=3.

1. Substitute y = 3 into the equation: X - 2(3) = -3.
2. Simplify the equation: X - 6 = -3.
3. Add 6 to both sides to find X: X = 3.

The completed ordered pair is (3,3). Now, let's determine the ordered pair missing the y-value when x=7.

1. Substitute x = 7 into the equation: 7 - 2y = -3.
2. Add 3 to both sides: 7 + 3 = 2y.
3. Simplify and divide by 2 to find y: y = 5.

The completed ordered pair is (7,5). Therefore, out of the given options, the correct ordered pair to complete the solution is (1,2), which is not listed.