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Mathematics
Mathematics
Problem
Which of the following pairs of linear equations will have no common solution when graphed on the same coordinate plane? a)
x
+
y
−
4
=
0
and
2
x
+
2
y
−
8
=
0
x + y - 4 = 0 \quad\text{and}\quad 2x + 2y - 8 = 0
x
+
y
−
4
=
0
and
2
x
+
2
y
−
8
=
0
b)
x
−
y
+
3
=
0
and
2
x
+
y
−
1
=
0
x - y + 3 = 0 \quad\text{and}\quad 2x + y - 1 = 0
x
−
y
+
3
=
0
and
2
x
+
y
−
1
=
0
c)
3
x
−
2
y
+
5
=
0
and
6
x
−
4
y
−
1
=
0
3x - 2y + 5 = 0 \quad\text{and}\quad 6x - 4y - 1 = 0
3
x
−
2
y
+
5
=
0
and
6
x
−
4
y
−
1
=
0
d)
3
x
+
4
y
−
1
=
0
and
6
x
+
4
y
−
1
=
0
3x + 4y - 1 = 0 \quad\text{and}\quad 6x + 4y - 1 = 0
3
x
+
4
y
−
1
=
0
and
6
x
+
4
y
−
1
=
0
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