After solving the linear system, value of x=3 and value of y=2
Step-by-step explanation:
We need to find the solution to the linear system [tex]x=-6y+15\,\,and\,\, -2y+5x =11[/tex]
[tex]x=-6y+15\,\,\,\,(1)\\-2y+5x =11\,\,\,\,(1)[/tex]
Putting value of equation (1) x=-6y+15 in equation(2)
[tex]-2y+5x =11\\-2y+5(-6y+15)=11\\-2y-30y+75=11\\-32y=11-75\\-32y=-64\\y=\frac{-64}{-32}\\y=2[/tex]
value of y=2
Now putting the value of y in equation (1)
[tex]x=-6y+15\\x=-6(2)+15\\x=-12+15\\x=3[/tex]
value of x = 3
After solving the linear system, value of x=3 and value of y=2
Keywords: Linear system
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