Question

1. Solve the system by substitution.

[-2.5x+y=13.5

12.25x - y=-12.25

(-5.1)

(-1,5)

(1.-5)

(5.-1)

Answer 1

Answer: (-5,1)

Explanation:

graph it and look where the lines intersect

Answer 2

The required solution is (0.128,13.82)

Explanation:

Consider the provided system of equation.

`-2.5x+y=13.5`......(1)

`12.25x - y=-12.25`......(2)

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

Consider the equation 1.

`-2.5x+y=13.5`

`y=13.5+2.5x` ......(3)

Substitute the value of y in equation 2.

`12.25x - (13.5+2.5x)=-12.25`

`12.25x-13.5-2.5x=-12.25`

`9.75x-13.5=-12.25`

`9.75x=-12.25+13.5`

`9.75x=1.25`

`x\approx 0.128`

Now substitute the value of x in equation 3.

`y=13.5+2.5(0.128)`

`y\approx 13.82`

Hence, the required solution is (0.128, 13.82)