Question

What is the solution to the system of equations? 13x−5=y 16x + y=4

a.(18, 1)
b.(92, −72)
c. (−2, 173)

Answer 1

The solution to the system of equations is (9/29, -28/29), which is not listed as one of the options.

Step-by-step explanation:

To solve the given system of equations, we can use the method of substitution or elimination. Let's use the method of substitution.

First, let's solve the first equation for y:

13x - 5 = y

y = 13x - 5

Now, substitute this value of y into the second equation:

16x + (13x - 5) = 4

Combine like terms:

29x - 5 = 4

Add 5 to both sides:

29x = 9

Divide both sides by 29:

x = 9/29

Now substitute this value of x into the first equation to find y:

y = 13(9/29) - 5

y = 117/29 - 145/29

y = -28/29

Therefore, the solution to the system of equations is (9/29, -28/29), which is not listed as one of the options. So none of the options (a), (b), or (c) are correct.