Answer:
[tex]x=-4\\\\y=3[/tex]
Step-by-step explanation:
Given Equations:
[tex]-3x-3y=3[/tex] Equation:1
[tex]5x+y=-17[/tex] Equation:2
Solving Equation:2 for the value of 'y'
[tex]5x+y=-17[/tex]
Subtracting '5x' both sides:
[tex]y=-17-5x[/tex] Equation:3
Using substitution method: Put the value of 'y' in equation:1
[tex]-3x-3y=3[/tex]
[tex]-3x-3(-17-5x)=3\\\\-3x-3(-17)-3(-5x)=3\\\\-3x+51+15x=3\\\\12x+51=3\\\\[/tex]
Subtracting '51' both sides:
[tex]12x=3-51\\\\12x=-48\\\\x=-48/12\\\\x=-4[/tex]
Putting the value of 'x' in equation:3
[tex]y=-17-5x[/tex]
[tex]y=-17-5(-4)\\\\y=-17+20\\\\y=3[/tex]
The values of 'x' and 'y' are:
[tex]x=-4\\\\y=3[/tex]
Answer:
Step-by-step explanation:
-3x - 3y = 3 ---------(i)
5x + y = -17
y = -5x - 17
Substitue y value in equation (i)
-3x - 3*(-5x - 17) = 3
-3x -3*(-5x) -3*(-17) =3
-3x + 15x + 51 = 3
12x + 51 = 3
12x = 3 - 51
12x = -48
x = -48/12
x =-4
Sustitute x value in Equation (i)
-3*(-4) - 3y = 3
12 - 3y = 3
-3y = 3 -12
-3y = -9
y =-9/-3
y = 3
