We can find the cost of the couch and coffee table as follow
Let the cost of the couch be C
Let the cost of the coffee table be T
First, we are told that they both cost $1290
Therefore, our first equation will be
[tex]C+T=1290---equation1[/tex]Next, we are told the cost of the couch is twice that of the coffee table
so
[tex]C=2T---\text{equation 2}[/tex]Solving equations 1 and 2 simultaneously
[tex]\begin{gathered} \text{substitute C=2T into equation 1} \\ 2T+T=1290 \\ 3T=1290 \\ T=\frac{1290}{3} \\ T=410 \\ \text{The cost of the coffe}e\text{ table is \$ 430} \end{gathered}[/tex]Next, we will find the cost of the couch
[tex]\begin{gathered} C=2T \\ C=2\times430 \\ C=860 \\ The\text{ cost of the coffe}e\text{ table is \$860} \end{gathered}[/tex]The cost of the couch is $860
The cost of the coffee table is $430
