Answer:
[tex]x=-1\\\\y=9[/tex]
Step-by-step explanation:
Given Equations:
[tex]14x+5y=31[/tex] Equation:1
[tex]2x-3y=-29[/tex] Equation:2
Multiplying Equation:2 by '7' both sides:
[tex]14x-21y=-203[/tex] Equation:3
Subtracting Equation:3 from Equation:1
[tex]14x+5y-(14x-21y)=31-(-203)\\\\14+5y-14x+21y=31+203\\\\5y+21y=31+203\\\\26y=234[/tex]
Dividing by '26' both sides:
[tex]y=234/26\\\\y=9[/tex]
Putting the value of 'y' in Equation:2
[tex]2x-3(9)=-29\\\\2x-27=-29\\[/tex]
Adding '27' both sides:
[tex]2x=-29+27\\\\2x=-2[/tex]
Dividing by '2' both sides:
[tex]x=-1[/tex]
The values are:
[tex]x=-1\\\\y=9[/tex]
