Please help.
Solve the given system of equation.
3x -Y =-7
To solve the given system of equations, you can use the method of substitution or the method of elimination. Let's use the method of substitution.
Step 1: Solve one of the equations for one variable in terms of the other variable. Let's solve the first equation for x.
3x - Y = -7
Rearranging the equation, we get:
3x = Y - 7
Dividing both sides by 3, we have:
x = (Y - 7)/3
Step 2: Substitute this expression for x into the second equation and solve for Y.
Substituting the value of x in the second equation:
3((Y - 7)/3) - Y = -7
Simplifying the equation:
Y - 7 - Y = -7
Combining like terms:
-7 = -7
Step 3: Since -7 = -7 is true, this means that the equation is true for any value of Y. Therefore, the value of Y can be any real number.
Step 4: Substitute the value of Y back into one of the original equations to solve for x. Let's use the first equation.
3x - Y = -7
Substituting any value of Y, the equation becomes:
3x - Y = -7
Taking Y as 0, the equation becomes:
3x - 0 = -7
Simplifying the equation:
3x = -7
Dividing both sides by 3, we get:
x = -7/3
Therefore, the solution to the system of equations is x = -7/3 and Y can be any real number.