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Mathematics
Mathematics
Problem
Try to solve the following simultaneous equations graphically. State the number of solutions in each case. a. a
{
y
=
−
2
x
+
5
y
=
−
2
x
−
1
\begin{cases} y = -2x + 5 \\ y = -2x - 1 \end{cases}
{
y
=
−
2
x
+
5
y
=
−
2
x
−
1
b. b
{
x
−
1
4
y
=
−
2
y
=
4
x
+
8
\begin{cases} x - \frac{1}{4}y = -2 \\ y = 4x + 8 \end{cases}
{
x
−
4
1
y
=
−
2
y
=
4
x
+
8
c. c
{
3
x
+
4
y
=
−
24
3
x
+
4
y
=
−
12
\begin{cases} 3x + 4y = -24 \\ 3x + 4y = -12 \end{cases}
{
3
x
+
4
y
=
−
24
3
x
+
4
y
=
−
12
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