To solve the simultaneous equations 2x + y = 1 and 4x + y = -3 graphically, we need to plot the lines represented by each equation on a coordinate plane and determine the point of intersection.
First, we rearrange each equation to solve for y:
Equation 1: 2x + y = 1
y = -2x + 1
Equation 2: 4x + y = -3
y = -4x - 3
Next, we can create a table of values for each equation:
Equation 1:
x | y
-------
0 | 1
1 | -1
2 | -3
Equation 2:
x | y
--------
0 | -3
1 | -7
2 | -11
Plotting these points and drawing lines through them, we get the following graph:
| .
| .
| .
-11 |_____________________________
| .
| .
| .
-7 |______________________
| .
| .
| .
-3 |______________
| .
| .
| .
|_________
0 1 2 3 4
The lines intersect at coordinates (-2, 5/2) or (-2, 2.5). Therefore, the solution to the system of equations is x = -2 and y = 2.5.
Use graphical method to solve the simultaneous equation 2x+y=1 and 4x+y=-3
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1 answer