Question

system of linear equations is shown below.

{
y
=
2
x
+
1
y
=
−
1
4
x
+
3

Which equation can be used to determine the value of x for the solution?

A.
2
x
+
1
=
−
1
4
x
−
3

B.
2
x
+
1
=
1
4
x
−
3

C.
2
x
+
1
=
1
4
x
−
3

D.
2
x
+
1
=
−
1
4
x
+
3

Answer 1

Set the right sides equal because both equal y:
2x + 1 = −(1/4)x + 3

So answer D. (If you solve: (9/4)x = 2 → x = 8/9.)