Question

Solve the system of equations by graphing where f(x)=5-2x and g(x)=(2/3)x-2. What is the value of x? 0 1 2 3 4

Answer 1

The graph is uploaded in the attachment.

The value of x is 2.625.

Explanation:

• let us plot f(x), g(x) on y-axis

so, f(x)=y and g(x)=y.

• the first equation can be written as y=5-2x

• the general equation of a straight is y=mx+c

( where m is the slope and c is the y-intercept )

• now comparing given equation with the general equation mentioned above, the slope of first line is -2 and its y-intercept is 5

• the slope of second equation i.e, y=(2/3)x-2 is 2/3 and its y-intercept is -2.

• now plot the graph using above information.

(y-intercept is the the coordinate of a point where the line intersects y-axis)

(slope is the angle made by the line with the x-axis)

• by seeing the graph, the value of x is 2.625.