Question

Solve the system of equations by graphing.
x+y=-9
2x+y=6

Answer 1

(15,-24) is the solution of system of equations.

Explanation:

We have system of equations.

We have to solve it by graphing.

x+y=-9 (eq 1)

2x+y=6 (eq 2)

In first equation,

y = -x-9

slope = -1 and y - intercept= -9

in second equation,

y=-2x+6

slope = -2 and y-intercept = 6

In graph,the intersecting point is the solution of system of equations.

The intersecting point is (15,-24).

We have attached the graph

Answer 2

The solution of the given system of equations is 'x= 15 and y= -24'.

Explanation:

We are given the inequalities,

x + y = -9

2x + y = 6

To find the solution graphically, we will draw the graphs of both the equation.

Then, the point at which the graphs intersect will be the required solution.

As we can see from the graphs plotted of the equations,

x + y = -9

2x + y = 6

That, they intersect at the point ( 15,-24 ).

Thus, the solution of the given system of equations is 'x= 15 and y= -24'.