Question

Richard made tables of values to solve a system of equations. First he found

Answer 1

Answer:

(0.9,4.2)

Step-by-step explanation:

Given:

The table above such that

$y = -x + 5$

$y = 6x - 1$

Required

Approximation of the solution

To do this, we start by equating both values of y

$-x + 5 = 6x - 1$

Collect like terms

$-x - 6x = -5 -1$

$-7x = -6$

Divide both sides by -7

$\frac{-7x}{-7} = \frac{-6}{=7}$

$x = \frac{6}{7}$

$x = 0.8571$

$x = 0.9$ (Approximated)

Substitute $\frac{6}{7}$ for x in any of the expression of y

Using $y = -x + 5$

$y = -\frac{6}{7}+ 5$

$y = \frac{-6+35}{7}$

$y = \frac{29}{7}$

$y = 4.1$ (Approximated)

The closest to this is option D

(x,y) = (0.9,4.2)