Problem

Drag each label to the correct location on the image. Identify which equations have one solution, infinitely many solutions, or no solution. \[ \begin{array}{lll} \frac{1}{2} y+3.2 y=20 & \frac{15}{2}+2 z-\frac{1}{4}=4 z+\frac{29}{4}-2 z & 3 z+2.5=3.2+3 z \\ 1.1+\frac{3}{4} x+2=3.1+\frac{3}{4} x & 4.5 r=3.2+4.5 r & 2 x+4=3 x+\frac{1}{2} \end{array} \] \begin{tabular}{|l|l|} \hline No Solution & \\ \hline One Solution & \\ \hline Infinitely Many Solutions & \\ \hline \end{tabular}

Solution

Step 1 :Analyze the coefficients of the variables in each equation and compare them.

Step 2 :Final Answer: \(\boxed{\text{No Solution: 2nd, 3rd, 4th, and 5th equations}}\), \(\boxed{\text{One Solution: 1st and 6th equations}}\), \(\boxed{\text{Infinitely Many Solutions: None}}\)

From Solvely APP
Source: https://solvelyapp.com/problems/11844/

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