Question

Y = – 3

y = x – 0.8

What is the best approximation for the solution to this system of equations?

(–3.2, –3)
(–2.9, –3)
(–2.2, –3)
(–1.9, –3)

Answer 1

The solution for the system of equations is (–2.2, –3)

Explanation:

The solution of the system of equations can be expressed with its components in x and y in the form (x,y) where x is the value of x and y is the value of y. The values of x and y can be found solving the system of equations given.

1. Write the system of equations and name each equation:

`y=-3` (Eq.1)

`y=x-0.8` (Eq.2)

2. Replacing Eq. 1 in Eq. 2 and solving for x, we have:

`y=x-0.8`

`-3=x-0.8`

`-3+0.8=x`

`-2.2=x`

3. Express the answer as the solution tho the system of equations:

(x,y)=(-2.2,-3)

Answer 2

(–2.2, –3)

Explanation:

y = – 3

y = x – 0.8

Substitute the value of y into the second equation

-3 = x-.8

Add .8 to each side

-3 +.8 = x-.8+.8

-2.2 = x

-3 =y