Question

Consider the linear system of equations. y = –x + 9 y = 0.5x – 6 If the solution is (a,–1), what is a? a =

Answer 1

Answer:

The value of a is 10.

Step-by-step explanation:

We are given with the following pair of the linear system of equations below;

$y = -x+9$  and   $y = 0.5x-6$.

Also, the solution is given as (a, -1).

To find the value of 'a', we have to substitute the solution in the equation because it is stated that (a, -1) is the solution of the given two equations.

So, the x coordinate value of the solution is a and the y coordinate value of the solution is (-1).

First, taking the equation;

$y = -x+9$

Put the value of x = a and y = -1;

(-1) = -(a) + 9

a = 9 + 1 = 10

Now, taking the second equation;

$y = 0.5x-6$

Put the value of x = a and y = -1;

$(-1) = 0.5(a)-6$

0.5a = 6 - 1

0.5a = 5

$a=\frac{5}{0.5}$

a = 10

Since we get the value of a = 10 from the equations, so the value of a is 10.