Question

What is the point of intersection when the system of equations below is graphed on the coordinate plane?

(-x+y=4
16x+y=-3
A) (1.-3)
b ) -(1,3)
c) (1.3)
d) (-1, -3)

Answer 1

The point of intersection between the system of equations is (-0.41, 3.59)

Solving the systems of equations graphically

From the question, we have the following parameters that can be used in our computation:

-x + y = 4

16x + y = -3

Next, we plot the graph of the system of the equations

See attachment for the graph

From the graph, we have solution to the system to be the point of intersection of the lines

This point is located at (-0.41, 3.59)

Hence, the solution is (-0.41, 3.59)

Answer 2

Neither of the options are correct for the given equations.

Explanation:

-x+y=4...................................................1

16x+y=-3...............................................2

Subtract equation 1 and 2

-x+y- 16x -y = 4+3

⇒ -17x = 7

⇒x=
`(7)/(-17\\)`

⇒x= -0.4117

so,

16×-0.4417 + y = -3

⇒y= -3+6.5872

⇒y= 3.5872

So the point of intersection is (-0.4117, 3.5872)