Solve each system of equations; nonlinear algebra 2

x2 + x + y - 26 = 0
x + y = 1

(5,-4) and (-5,6)

Step-by-step explanation:

Given:

Solve it. First, express y in terms of x from the second equation:

Substitute it into the first equation:

Apply zero product property:

So,

When then

When then

We get two solutions: (5,-4) and (-5,6)

1/4 and 8/3 because:

the reciprocal if 4 is 1/4 because 4 is used as 4/1 and the opposite of that is 1/4. the opposite of 3/8 is 8/3 so that is the answer.