Question

Identify a solution to the following system of equations:

22 - 3y = 7
5y = 6x + 11

a. (-4, 2.5)
b. (-2.5, -4)
c. (2.5, -4)
d. (4, -2.5)

Answer 1

one solution to the system of equations is (11/18, 88/15).

Step-by-step explanation:

To identify a solution to the system of equations:

22 - 3y = 7

5y = 6x + 11

We can use the substitution method.

Step 1: Solve the second equation for x

5y = 6x + 11

Divide both sides by 6:

y = (6/5)x + 11/5

Step 2: Substitute this expression for y in the first equation

22 - 3y = 7

22 - 3((6/5)x + 11/5) = 7

22 - 18x - 33 = 7

-11 = -18x

x = 11/18

Step 3: Substitute x = 11/18 back into the second equation to solve for y

5y = 6(11/18) + 11

5y = 11/3 + 11

5y = 44/3

y = 88/15

Therefore, one solution to the system of equations is (11/18, 88/15).

Answer 2

Upon solving the provided system of equations, we find that y = 5 and x = 2.333, which means that none of the provided answer choices match the correct solution.None of the provided solutions has x = 2.333 and y = 5, so there isn't a correct answer among the options a, b, c, or d.

Step-by-step explanation:

To identify a solution to the given system of equations:

22 - 3y = 7

5y = 6x + 11

We'll solve each equation step by step.

First, we simplify the first equation for y:

22 - 3y = 7

Subtract 22 from both sides: -3y = 7 - 22

-3y = -15

Divide by -3: y = 5

Now we'll substitute y into the second equation:

5y = 6x + 11

Substitute y = 5: 5(5) = 6x + 11

25 = 6x + 11

Subtract 11 from both sides: 14 = 6x

Divide by 6: x = 14 / 6

x = 2.333...

None of the provided solutions has x = 2.333 and y = 5, so there isn't a correct answer among the options a, b, c, or d.