Question

Which is the approximate solution to the system y = 0.5x + 3.5 and y = −A system of equations. y equals 0.5 x plus 3.5. y equals negative StartFraction 2 over 3 EndFraction x plus StartFraction 1 over 3 EndFraction.x + shown on the graph? (–2.7, 2.1) (–2.1, 2.7) (2.1, 2.7) (2.7, 2.1)

Answer 1

Its A.

(–2.7, 2.1)

Answer 2

The approximate solution of the system of equations is the point (-2.7,2.1)

Explanation:

we have

`y=0.5x+3.5` -----> equation A

`y=-(2)/(3)x+(1)/(3)` -----> equation B

Solve the system by graphing

Remember that the solution is the intersection point both graphs

using a graphing tool

The solution is the point (-2.714,2.143)

see the attached figure

therefore

The approximate solution of the system of equations is the point (-2.7,2.1)