Respuesta :

Answer:

The required solution is (0.128,13.82)

Step-by-step explanation:

Consider the provided system of equation.

[tex]-2.5x+y=13.5[/tex]......(1)

[tex]12.25x - y=-12.25[/tex]......(2)

We need to solve the system of equation by substitution method.

Consider the equation 1.

[tex]-2.5x+y=13.5[/tex]

[tex]y=13.5+2.5x[/tex] ......(3)

Substitute the value of y in equation 2.

[tex]12.25x - (13.5+2.5x)=-12.25[/tex]

[tex]12.25x-13.5-2.5x=-12.25[/tex]

[tex]9.75x-13.5=-12.25[/tex]

[tex]9.75x=-12.25+13.5[/tex]

[tex]9.75x=1.25[/tex]

[tex]x\approx 0.128[/tex]

Now substitute the value of x in equation 3.

[tex]y=13.5+2.5(0.128)[/tex]

[tex]y\approx 13.82[/tex]

Hence, the required solution is (0.128, 13.82)

Answer: (-5,1)

Step-by-step explanation:

graph it and look where the lines intersect