Question
Solve the following system of equations graphically:
$3x + 2y = 12,$
$5x - 2y = 4$
$3x + 2y = 12,$
$5x - 2y = 4$
✓
Answer
$\text{3x}+\text{2y}=12$
$\Rightarrow\text{y}=\frac{12-\text{3x}}{2}$
$\text{5x}-\text{2y}=4$
$\Rightarrow\text{y}=\frac{\text{5x}-4}{2}$
Since the two graph intersect at $(2, 3),$
$x = 2$ and $y = 3$
$\Rightarrow\text{y}=\frac{12-\text{3x}}{2}$
|
$x:$
|
$0$
|
$2$
|
|
$y:$
|
$6$
|
$3$
|
$\Rightarrow\text{y}=\frac{\text{5x}-4}{2}$
|
$x:$
|
$0$
|
$2$
|
|
$y:$
|
$-2$
|
$3$
|
Since the two graph intersect at $(2, 3),$
$x = 2$ and $y = 3$
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