To solve this system of equations, we can substitute \(y\) from the first equation into the second equation. The first equation is \(y=\frac{1}{4} x\). Substitute \(y\) into the second equation: \(x+4(\frac{1}{4}x)=8\).This simplifies to \(x+x=8\), which further simplifies to \(2x=8\).Solving for \(x\), we get \(x=4\).Substitute \(x=4\) into the first equation to solve for \(y\): \(y=\frac{1}{4}*4\), which simplifies to \(y=1\).So, the solution to the system of equations is \(x=4, y=1\).

Question

y=(1)/(4)x x+4y=8

Answer

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Verificación de expertos

Theo Master · Tutor for 5 years

Answer

To solve this system of equations, we can substitute

from the first equation into the second equation. The first equation is

. Substitute

into the second equation: \(x+4(\frac{1}{4}x)=8\).This simplifies to

, which further simplifies to

.Solving for

, we get

.Substitute

into the first equation to solve for

, which simplifies to

.So, the solution to the system of equations is