The solution to given system of equations are ![(x , y) = ( \frac{-16}{5},\frac{-21}{20})](https://tex.z-dn.net/?f=%28x%20%2C%20y%29%20%3D%20%28%20%5Cfrac%7B-16%7D%7B5%7D%2C%5Cfrac%7B-21%7D%7B20%7D%29)
<em><u>Solution:</u></em>
<em><u>Given system of equations are:</u></em>
6x - 4y = -15 ----- eqn 1
x - 4y = 1 -------- eqn 2
We can solve the system of equations by susbtitution method
<em><u>From eqn 2, solve for varibale "x"</u></em>
x - 4y = 1
x = 1 + 4y ------- eqn 3
<em><u>Substitute eqn 3 in eqn 1</u></em>
6(1 + 4y) - 4y = -15
6 + 24y - 4y = -15
Combine the like terms
6 + 20y = -15
20y = -15 - 6
20y = -21
![y = \frac{-21}{20}](https://tex.z-dn.net/?f=y%20%3D%20%5Cfrac%7B-21%7D%7B20%7D)
<em><u>Substitute the above value of "y" in eqn 3</u></em>
![x = 1 + 4(\frac{-21}{20})\\\\x = 1 + \frac{-21}{5}\\\\x = \frac{5-21}{5}\\\\x = \frac{-16}{5}](https://tex.z-dn.net/?f=x%20%3D%201%20%2B%204%28%5Cfrac%7B-21%7D%7B20%7D%29%5C%5C%5C%5Cx%20%3D%201%20%2B%20%5Cfrac%7B-21%7D%7B5%7D%5C%5C%5C%5Cx%20%3D%20%5Cfrac%7B5-21%7D%7B5%7D%5C%5C%5C%5Cx%20%3D%20%5Cfrac%7B-16%7D%7B5%7D)
Thus solution to given system of equations are ![(x , y) = ( \frac{-16}{5},\frac{-21}{20})](https://tex.z-dn.net/?f=%28x%20%2C%20y%29%20%3D%20%28%20%5Cfrac%7B-16%7D%7B5%7D%2C%5Cfrac%7B-21%7D%7B20%7D%29)