x+r=6

y+r=8

8(x+r)/2=24

6(r+y)/2=24

asked by guest
on Oct 05, 2024 at 8:18 am



You asked:

Solve the system of equations:\[\begin{aligned}x + r &= 6\\y + r &= 8\\\frac{8 \cdot \left(x + r\right)}{2} &= 24\\\frac{6 \cdot \left(r + y\right)}{2} &= 24\end{aligned}\]

MathBot Answer:

The system of equations has infinitely many solutions.

$$\begin{aligned}r &= 8 - y\\x &= y - 2\end{aligned}$$

\(y\) is a free variable.

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