Question
Solve the following system of equations graphically:
Shade the region between the lines and the y-axis.
Shade the region between the lines and the y-axis.
3x - 4y = 7,
5x + 2y = 3.
✓
Answer
The given equations are,
3x - 4y = 7 ......(i)
5x + 2y = 3 ........(ii)
From (i), $\text{y}=\frac{3\text{x}-7}{4}\ .....(\text{iii})$
Putting x = -3 in equations (iii), we get y = -4
Putting x = 1 in equations (ii), we get y = -1
From (ii), $\text{y}=\frac{3-5\text{x}}{2}\ ......(\text{iv})$
Putting x = 1 in equations (ii), we get y = -1
Putting x = -1 in equations (ii), we get y = 4
Clearly, from the graph that these two lines intersect each other at point (1, -1) so solution of these equation x = 1 and y = -1.
3x - 4y = 7 ......(i)
5x + 2y = 3 ........(ii)
From (i), $\text{y}=\frac{3\text{x}-7}{4}\ .....(\text{iii})$
Putting x = -3 in equations (iii), we get y = -4
Putting x = 1 in equations (ii), we get y = -1
|
x
|
-3
|
1
|
|
y
|
-4
|
-1
|
From (ii), $\text{y}=\frac{3-5\text{x}}{2}\ ......(\text{iv})$
Putting x = 1 in equations (ii), we get y = -1
Putting x = -1 in equations (ii), we get y = 4
|
x
|
1
|
-1
|
|
y
|
-1
|
4
|
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