Question

Which is the best approximation for the solution of the system of equations

Answer 1

Solution of the system of the equations is (0.882, 0.647)

Explanation:

As shown in the figure equations are
`y=-(2)/(5)x+1` and y = 3x - 2

Solution of the system of equations will be the common point or point of intersection of these lines.

To get the point of intersection we will solve these equations.

We will equate these equations to get the value of x.

`-(2)/(5)x+1=3x-2`

`-2x+5=15x-10`

15x + 2x = 10 + 5

17x = 15

`x=(15)/(17)`

x = 0.882

By putting x = 0.882 in y = 3x - 2

y = 3(0.882) - 2

y = 0.647

So the solution of systems of equations is (0.882, 0.647)

Answer 2

x = 0.882
y = 0.647
seems to be a good approximation of the solution.