Determine if (−3, −26) and (3, 10) are solutions to the system of equations:

6x + y = 8,
x2 − 5 = 4

The given points are not solutions to the given system of equations.

Step-by-step explanation:

Step 1:

To find if the points are solutions to the given system of equation, we can substitute the points in the equation and see if they satisfy the conditions. The points should satisfy both the equations.

Step 2 :

Consider the point (−3, −26).

substituting in equation 1 we have  

6*(-3) + (-26) =  -44 . This does not satisfy the given equation

Substituting in equation 2 we have,

(-3)(-3) -5 = 4. This satisfies the equation 2.

But this is not a solution to the given system of equations because it does not satisfy equation 1.

Step 3 :

Consider the point (3,10).

substituting in equation 1 we have  

6*(3) + 10 =  28 . This does not satisfy the given equation

Substituting in equation 2 we have,

(3)(3) -5 = 4. This satisfies the equation 2.

But this is not a solution to the given system of equations because it does not satisfy equation 1.

Hence the given points are not the solutions.

second option

step-by-step explanation:

the measures of a triangle equal 180. use that to find x.

2x+3x+4x=180

9x=180

9x/9=180/9

x=20

now you know x, you know angle a is 40°, angle b is 60°, angle c is 80°.

because angle a is 40°, the first option doesn't work.

because angle b is 60°, the second option does work.

when you add angle a and b, you get 100°. complementary means it equals 90°, so the third option doesn't work.

when you add angle a and c, you get 120°, which is not 100.

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step-by-step explanation: