Draw the graph for the equations 2x + y = 5 and 3x – 2y = 4 and find the solution from the graph.
Answers
Step-by-step explanation:
2x + y = 5-----equa 1
3x - 2y = 4 ------equa 2
By elimination,
equa 1----- 2x +y =5
equa 2--------- 3x- 2y =4
----------------
5x - y = 9
Answer:
The two lines intersect at the point (1, 4).
Step-by-step explanation:
From the above question,
They have given :
Draw the graph of 2x + y = 5. Start by plotting the y-intercept, which is (0, 5).
To calculate the slope of the line in order to draw the line. The slope of the line is -2, so draw the line going downwards and to the right.
Draw the graph of 3x - 2y = 4. Start by plotting the y-intercept, which is (0, -2).
Calculate the slope of the line in order to draw the line. The slope of the line is 3, so draw the line going upwards and to the right.
The two lines intersect at the point (1, 4). This is the solution to the system of equations.
The graph of the equations 2x + y = 5 and 3x - 2y = 4 is shown below.
The solution of the system of equations is (1, 4).
This can be seen from the graph, as the two lines intersect at the point (1, 4).
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