The system having equations y=3x-4 and 3y=-x-6 is consistent.
Given that system has equations y=3x-4 and 3y=-x-6.
We are required to find whether the system is consistent,inconsistent or neither.
The system which has atleast one solution is known as consistent.
We have to first find the solution of the equations.
Equation is like the relationship between two or more variables that are expressed in equal to form. Equation of two variables look like ax+by=c.
We have been given linear equations.
y=3x-4----------1
3y=-x-6---------2
Use the value of y from 1 in 2.
3(3x-4)=-x-6
9x-12=-x-6
9x+x=-6+12
10x=6
x=6/10
x=3/5
Since,it has one solution,so it is consistent.
Hence the system having equations y=3x-4 and 3y=-x-6 is consistent.
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