Question

What is the best approximation of the solution to the equations that these two lines represent?

Answer 1

Number one would be 1.5 , 3 and number two would be 1.5 , 1

Answer 2

Answer: 1) (3,1.5)

2) (1,1.5)

Step-by-step explanation:

We know that the solution of system of two linear equation is the point on graph where the lines of the equations intersect.

• From the first picture, we can see that the x-coordinate of the intersection lies between 2 and 4 and the y-coordinate lies between 1 and 2.

The approximate value for x- coordinate = Mid point between 2 and 4

=3

The approximate value for y- coordinate = Mid point between 1 and 2

=$\dfrac{1+2}{2}=1.5$

⇒ The best approximation of the solution to the equations =(3,1.5)

• From the second picture, we can see that the x-coordinate of the intersection is 1 and the y-coordinate lies between 1 and 2.

The approximate value for y- coordinate = Mid point between 1 and 2

=1.5

⇒ The best approximation of the solution to the equations =(1,1.5)