Solve the system using the subsition method. (of there is no solution put no solution if there is infinite solutions put infiniteg=-3/4h -1/2g= -0.75h -2

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asked Feb 14, 2023 223k views

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Jetman · Answer 1 · 2023-02-20T20:46:56+0000

We are given the system of equations:

$\begin{gathered} g=-(3)/(4)h-(1)/(2)--------1 \\ g=-0.75h-2-------2 \end{gathered}$

We are to solve using the Substitution Method. We have it as shown below:

$\begin{gathered} g=-(3)/(4)h-(1)/(2)--------1 \\ g=-0.75h-2\Rightarrow g=-(3)/(4)h-2 \\ g=-(3)/(4)h-2--------2 \\ Since\text{ ''g'' is the subject of the first equation, we will substitute the value of ''g'' into equation 2, we have:} \\ -(3)/(4)h-(1)/(2)=-(3)/(4)h-2 \\ \text{Putting like terms together, we have:} \\ -(3)/(4)h+(3)/(4)h=-2+(1)/(2) \\ 0=-(3)/(2) \\ \therefore No\text{ solution} \end{gathered}$

Therefore, the equation has no solution

Solve the system using the subsition method. (of there is no solution put no solution if there is infinite solutions put infiniteg=-3/4h -1/2g= -0.75h -2

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