Question

A 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

D. Set the two expressions for y equal: 2x + 1 = −(1/4)x + 3.
Solving: (9/4)x = 2 → x = 8/9.