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# Graph the system and determine the number of solutions that it has. If it has one solution, name it.\begin{aligned} & x+2 y=4 \\ & y=-\frac{1}{2} x+2 \end{aligned}

Solutions

Verified
Step 1
1 of 4

Find a few points on the first line. First, express y by subtracting x from both sides.

$x+2y-(x)=4-(x)$

$2y=4-x$

Then, divide by 2.

$y=2-\frac{1}{2}x$

Choose a few x-points and include them back to the equation to solve for y. → $\quad\text{for}\quad x=0 \quad\quad\text{ }\text{ }\ y=2$$\quad\text{for}\quad x=4 \quad\quad\text{ }\text{ }\ y=0$

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