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13.) solve the system of equations:$\begin{cases} y=6x \\ 4x + y=7 end{…

Question

13.) solve the system of equations:$\begin{cases} y=6x \\ 4x + y=7 end{cases}$

Explanation:

Step1: Substitute $y=6x$ into 2nd equation

$4x + 6x = 7$

Step2: Combine like terms

$10x = 7$

Step3: Solve for $x$

$x = \frac{7}{10} = 0.7$

Step4: Find $y$ using $y=6x$

$y = 6 \times \frac{7}{10} = \frac{42}{10} = 4.2$

Answer:

$x = \frac{7}{10}$, $y = \frac{21}{5}$ (or $x=0.7$, $y=4.2$)