Answer:
The solution of the given system of equations is:
Option: d (d. (5,-4) )
Step-by-step explanation:
We are given a system of equation as:
\(3x+2y=7--------(1)\)
and \(y=-3x+11---------(2)\)
Now we are asked to find the solution of the system of equations using substitution method.
Hence, we substitute the value of y from equation (2) in equation (1) to obtain:
\(3x+2(-3x+11)=7\\\\3x-6x+22=7\\\\-3x+22=7\\\\3x=22-7\\\\3x=15\\\\x=5\)
Now on putting the value of x back to equation (2) we get:
\(y=-3\times 5+11\\\\y=-15+11\\\\y=-4\)
Hence, the solution is: (5,-4)
