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Use the substitution method to solve the system of equations.

y=-8x
4x - y = 3
O A (1.-4)
О в. (1.-4)
OC (-2)
C.
O D. (1/. -1)

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Final answer:

To solve the system of equations using the substitution method, we substitute the value of y in one equation with the expression in terms of x from the other equation. Then we solve for the value of x and substitute it back to find the value of y.


Step-by-step explanation:

To solve the given system of equations using the substitution method, we substitute the value of y in the second equation with -8x from the first equation.

Substituting y = -8x into the second equation, we get 4x - (-8x) = 3.

Simplifying this equation, we have 4x + 8x = 3, which simplifies to 12x = 3. Solving for x gives x = 3/12 = 1/4. Substituting this value of x back into the first equation, we find y = -8(1/4) = -2.

Therefore, the solution to the system of equations is x = 1/4 and y = -2.


Learn more about Solving equations using substitution

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