Answer:
x = 68/5, y = 97/5
Step-by-step explanation:
We can solve your system of equations by the method of elimination.
[tex]\begin{array}{lrcll}(1)&-14x + 11y & = & 23 &\\(2)& 7x - 3y & = & 37 &\\(3)&14x - 6y &=&74&\text{Multiplied (2) by 2}\\(4)&5y & = & 97 & \text{Added (1) and (3)}\\(5)&y & = &\mathbf{\dfrac{97}{5}} & \text{Divided (4) by 5}\\& 7x - 3\left(\dfrac{97}{5}\right) & = & 37 &\text{Substituted (5) into (2)}\\\end{array}[/tex]
[tex]\begin{array}{lrcll}& 7x - \dfrac{291}{5} & = & 37 &\text{Simplified}\\\\& 7x & = & 37 + \dfrac{291}{5} &\text{Added the fraction to each side}\\\\& & = & \dfrac{185 + 291}{5} &\text{Common denominator}\\\\& & = & \dfrac{476}{5} &\text{Simplified}\\\\&x& = &\mathbf{\dfrac{68}{5}} &\text{Divided each side by 7}\\\\\end{array}[/tex]
The solution is x = 68/5, y = 97/5.
