# Which is the best approximate solution of the system of linear equations y=1.5x-1 and y=1?

Jan 22, 2017

In the question they use the word approximate. This implies they are expecting you to draw the graph and read the answer off from it.

The exact answer is $x = \frac{4}{3} \mathmr{and} y = 1$

#### Explanation:

For there to be a solution $y = 1$ is a common point. So by substitution we have:

$y = 1.5 x - 1 \text{ "->" } 1 = 1.5 x - 1$

$1.5 x = 2$

$x = \frac{2}{1.5} = \frac{4}{3}$

So the solution for this is point p $\to {P}_{\text{("x","1")}} \to \left(x , y\right) = \left(\frac{4}{3} , 1\right)$