194k views
2 votes
Consider the linear system of equations. y = –x + 9 y = 0.5x – 6 If the solution is (a,–1), what is a? a =

User ROunofF
by
8.7k points

1 Answer

6 votes

Answer:

The value of a is 10.

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=(5)/(0.5)

a = 10

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

User Nmxprime
by
8.6k points

No related questions found

Welcome to QAmmunity.org, where you can ask questions and receive answers from other members of our community.

9.4m questions

12.2m answers

Categories