Question

What is the best approximation of the solution to the system to the nearest integer values?

(7, 1)
(7, 0)
(1, 7)
(0, 6)

Graph of a system of linear equations. Equation 1 is x minus y equals negative 6. Equation 2 is 5x plus 3y equals 24.

Answer 1

(1,7)

Explanation:

I took the k12 test And got it right.

Answer 2

OPTION C: (1,7)

Explanation:

The two equations are:

`$ x - y = -6  \hspace{25mm} ....(1) $`

`$ 5x + 3y = 24 \hspace{25mm} ...(2) $`

To solve these two equations, multiply (1) by 5 and subtract (1) and (2).

Therefore, we get the value of y.

`$ y = (54)/(8) $`

This is approximately equal to 7.

Substituting y = 7 in (1), we get x - 7 = -6

⇒ x = -6 + 7

∴ x = 1

So, we say the approximate solution to the equations is: (1,7).

In other words, the two lines meet approximately at (1,7).