Solve the following system of equations using substitution. Please explain all steps:

1. [tex]6x + 6y = -6[/tex]
2. [tex]5x + y = -13[/tex]

Solve for one variable in one of the equations: 5x + y = -13 y = -13 - 5x
plug that in for the variable in the other equation: 6x + 6y = -6 6x + 6 (-13 - 5x) = -6
Solve for the variable: 6x - 78 - 30x = -6 -24x - 78 = -6 -24x = 72 x = -3
Plug that in for the variable in any of the original equations: 5x + y = -13 5 (-3) + y = -13
Solve for the variable: -15 + y = -13 y = 2
(-3, 2)

Answered by vivio | 2024-06-10

Solve the system of linear equations by isolating y in the second equation, then substituting this into the first equation to find x. Substitute x back into the y equation to find y, resulting in the solution (x, y) = (-3, 2). ;

Answered by akhi8765k | 2024-06-24

To solve the given system of equations using substitution, we first express one variable in terms of the other from one equation, substitute that expression into the other equation, and solve for the remaining variable. We find that x = − 3 and subsequently y = 2 , leading to the solution ( − 3 , 2 ) .
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Answered by vivio | 2024-10-15