$-\frac{1}{2}x+\frac{1}{2}y=-1\\\\\textsf{subtract} \ -\frac{1}{2}y \ \textsf{from both sides:}\\\\\implies -\frac{1}{2}x=-1-\frac{1}{2}y\\\\\textsf{mulitply both sides by -2:}\\\\\implies x=2+y\\\\\textsf{subtract} \ y \ \textsf{from both sides:} \ x-y=2$

Therefore, the graphs are the same.

If the graphs of the equations are the same, then there are an infinite number of solutions that are true for both equations.

6 0

2 years ago

Read 2 more answers

What numbers add to 4 but multiply to 1

dem82 [27]

1 + 1 + 1 + 1 = 4
1 x 1 x 1 x 1 = 1

8 0

3 years ago

4x - 4y = 1 Solve the equation for y. 10 points!

melisa1 [442]

Answer:

infinite solutions

y = x - 1/4

Step-by-step explanation:

4x - 4y = 1

4y = 4x - 1

y = x - 1/4

substitute

4x - 4(x - 1/4) = 1

4x - 4x + 1 = 1

0 = 0

infinite solutions

5 0

3 years ago