Question

Draw the graph of the equations x-y+1=0 and 3x+2y-12=0. Using this graph, find the values of x and y which satisfy both the equations.

Answer 1

Do the same for another equation and plot both the lines on the graph and where the lines intersects that will be the point which satisfy both the equations.

Answer 2

The value of x=2 and y=3 which satisfy both the equations.

Step-by-step explanation:

Given : Equations $x-y+1=0$ and $3x+2y-12=0$.

To find : The values of x and y which satisfy both the equations ?

Solution :

We plot the equation in the graphing tool,

Equation $x-y+1=0$  is plotted with red line passing through (0,1) and (-1,0).

Equation $3x+2y-12=0$ is plotted with blue line passing through (0,6) and (4,0).

Refer the attached figure below.

The solution of the equation is given by the intersection of the equations.

The intersection point is (2,3).

Therefore, the value of x=2 and y=3 which satisfy both the equations.

#Learn more

Draw the graph of the pair of equations x-2y=4 and 3x+5y=1. From the graph, find the values of X and Y which will satisfy both equations. Write the vertices of the triangle formed by these lines and the Y axis. Find the area of this triangle.

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