Question

2x+y=4 y=x+1 Solve the system of equations graphically

Answer 1

Step 1:

To solve the system of equations graphically, you will find the value of x when y = 0 and y when x = 0 for both equations.

Step 2:

Write the two equations

2x + y = 4

y = x + 1

Step 3

`\begin{gathered} 2x\text{ + y = 4} \\ \text{when x = 0} \\ 2*0\text{ + y = 4} \\ \text{y = 4} \\ when\text{ y = 0} \\ 2x\text{ + 0 = 4} \\ 2x\text{ = 4} \\ x\text{ = }(4)/(2)\text{ = 2} \\ (0,\text{ 4) and (2, 0)} \end{gathered}`

Second equation

`\begin{gathered} y\text{ = x + 1} \\ \text{when x = 0} \\ y\text{ = 0+ 1 = 1} \\ \text{when y = 0} \\ \text{0 = x + 1} \\ x\text{ = -1} \\ (0,\text{ 1) and (-1, 0)} \end{gathered}`

Step 4:

Graph the system of equations

The solution to the system of the equations is the coordinates of the point where the two lines meet.

From the graph

The solution to the system of equations is (1, 2)

Final answer

( 1 , 2 )