MATH SOLVE

3 months ago

Q:
# Solve by the substitution method.x - y = -65x + 6y = -63What is the solution of the system? Select the correct choice below and fill in the answer box within your choice.A.The unique solution to the system is ___ (Type an ordered pair.)B.There are an infinite number of solutions.C.There is no solution.

Accepted Solution

A:

Answer:The unique solution to the system is (x,y){(-9,-3)} Step-by-step explanation:x - y = -6 equation 15x + 6y = -63 equation 2 We will find the value of x from equation 1.x= y-6Now put the value of x in equation 2.5(y-6)+6y = -635y-30+6y = -63Combine the like terms:5y+6y= -63+3011y = -33Divide both sides by 11.11y/11 = -33/11y = -3Now put the value y = -3 in x=y-6x = y-6x= -3-6x= -9Therefore The unique solution to the system is (x,y){(-9,-3)} ....