1 Fill in the Blank 1 point Solve the following system by graphing. $$ y=x+1 $$ $$ y=\frac{1}{2} x+1 $$ (type your answer...

Question

UpStudy AI · Accepted Answer

The solution to the system of equations is the point where the two lines intersect.

Given the equations:
1. $$ y = x + 1 $$
2. $$ y = \frac{1}{2}x + 1 $$

To find the intersection, set the equations equal to each other:

$$
x + 1 = \frac{1}{2}x + 1
$$

Subtract $$ \frac{1}{2}x $$ from both sides:

$$
\frac{1}{2}x + 1 = 1
$$

Subtract 1 from both sides:

$$
\frac{1}{2}x = 0
$$

Multiply both sides by 2:

$$
x = 0
$$

Now, substitute $$ x = 0 $$ back into one of the original equations to find $$ y $$:

$$
y = 0 + 1 = 1
$$

**Answer:** $$ (0,\ 1) $$
The solution is $$ (0, 1) $$.

1 Fill in the Blank 1 point Solve the following system by graphing. \( y=x+1 \) \( y=\frac{1}{2} x+1 \) (type your answer...