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Solve the system of linear equations by substitution. 8x13y=0; 12x+3=y

User Irka
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Final answer:

To solve the system of linear equations by substitution, isolate one variable and substitute it into the other equation. The solution to the given system is x = -3/4 and y = -9/2.

Step-by-step explanation:

To solve the system of linear equations by substitution, we need to isolate one variable in one equation and substitute it into the other equation. Let's solve the given system:

Equation 1: 8x + 13y = 0

Equation 2: 12x + 3 = y

First, we solve Equation 2 for y:

y = 12x + 3

Now, substitute this expression for y in Equation 1:

8x + 13(12x + 3) = 0

Simplify and solve for x:

8x + 156x + 39 = 0

164x + 39 = 0

164x = -39

x = -39/164 = -3/4

Now, substitute this value of x back into Equation 2 to find y:

y = 12(-3/4) + 3 = -9/2

Therefore, the solution to the system of linear equations is x = -3/4 and y = -9/2.

User Roryok
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