Question

Which system of linear equations, when graphed, has lines that intersect at (5,10)?

A.
{
x
−
y
=
−
5
y
=
5
x
+
10

B.
{
y
−
x
=
5
y
=
5
x

C.
{
2
y
−
x
=
0
x
+
y
=
15

D.
{
y
=
2
x
x
+
y
=
15

Answer 1

D

Check (5,10): y = 2x → 10 = 2(5) = 10, and x + y = 15 → 5 + 10 = 15, so (5,10) lies on both lines in system D.