Question

1. Solve the system by substitution.

Answer 1

Answer:

The required solution is (0.128,13.82)

Step-by-step 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)