Question

In the following system of equations, determine whether the system has a unique

Answer 1

Answer:

the system has a unique solution

Step-by-step explanation:

Start with an equation of a line in standard form,

$ax + by = c$

Solve it for y to put it into the slope-intercept form:

$by = -ax + c$

$y = -\dfrac{a}{b}x + \dfrac{c}{b}$

The slope is -a/b.

Now look at your system of equations. The slope of the first equation is -a/b = -2/3. The slope of the second equation is -a/b = -6/5.

You have a system of two linear equations with two lines with different slopes, so the lines must intersect at a single point.

Answer: the system has a unique solution