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Solve the system of equations using the substitution method: y = 4x - 6, -8x + 2y = -12.

User Jllodra
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Final answer:

To solve the system of equations using the substitution method, substitute one equation into the other to eliminate one variable.

Step-by-step explanation:

To solve the system of equations using the substitution method, you need to substitute one equation into the other to eliminate one variable. Let's use the first equation, which is y = 4x - 6, and substitute it into the second equation.

Replace y in the second equation with 4x - 6, so you have: -8x + 2(4x - 6) = -12. Simplify this equation by distributing the 2.

Combine like terms and solve for x to find its value. Then substitute this value back into the first equation to solve for y.

User Mkimmet
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