Respuesta :
Answer:
So the solution set of the equations are {(-1,4)}
or
the solution is x = -1 and y = 4
Step-by-step explanation:
Equations given to us are
y = -3x + 1 ..................(i)
2x + 5y = 18 .................(ii)
To find the value of x and y or the solution set of the system of equations
Now in first equation we see that
y = -3x + 1
Putting this value in equation (ii)
which is
2x + 5y = 18
Putting value of y from (i) in it
2x + 5(-3x + 1) = 18
Opening the bracket and multiplying inside
2x -15x + 5 = 18
-13 x + 5 = 18
Subtracting 5 from both sides of the equation
-13x + 5 - 5 = 18 -5
-13x = 13
Dividing both sides by -13
[tex]\frac{-13x}{-13}=\frac{13}{-13}[/tex]
Cutting out the same values gives us
x = -1
For value of y
putting value of x in equation (i)
which is
y = -3x + 1
Putting the value
y = -3(-1)+1
y=3+1
y=4
So the solution set of the equations are {(-1,4)}
or
the solution is x = -1 and y = 4
