Your family goes to a restaurant for dinner. there are 6 people in your family. some order the chicken dinner for $14.80 and some order the steak dinner for $17. if the total bill was $91, how many people ordered each type of dinner?

This is a linear system
you can graph both lines and see where the intercept or make an equation for both and then solve it for a point that can solve both equations. I'm going to use the subsitution method

x is steak
y is chicken

x+y=6 <-- for the amount of steaks + amount of chicken should be equal to 6 meals, 1 for each person
17x+14.80y=91 <--$17 for each steak + 14.80 for each chicken should be $91

x+y=6
get one of the 2 variables alone on one side. I'm doing it for x
x=-y+6
since thats what y is in terms of x, subsitute that for x in the other equation
17(-y+6)+14.80y=91
distribute the 17
-17y+102+14.80y=91
combine like terms
-2.2y+102=91
subtract 102
-2.2y=-11
divide by 102 now you have y alone
y=5
because before you got y in terms of x you know that x is equivalent to negative y + 6. now we have y (5) so subsitute that in to get x
x=-(5)+6
simplify
x=1
now you have x=1 and y=5. you know y is chicken and x is steak so theres your answer! (1 person got steak 5 people got chicken)
you can plug in x and y in both quations and make sure its right
x+y=6 --> 1+5=6 --> 6=6
that eqaution's true
17x+14.80y=91 --> 17(1)+14.80(5)=91 --> 17+74=91 --> 91=91
both equations are true so your answer is right

hope that hhelps you :)

Okay so for every triangle has three angles that always add up to 180 degrees. and to tell the difference between whether they are secure, right or obtuse is that acute: has one angle that is less than 90 degrees. right triangle means there is at least one angle that is exactly 90 degrees. and an obtuse angle has an angle that is bigger than 180 degrees. i’ll do #13 as an example: 13. 40 and 50 so if every triangle has 180 degrees 40+50= 90 degrees then180-90= 90 degrees so the third angle is 90 degrees and because this triangle has a 90 degree angle it means it is a right triangle

Iwould say false, not positive but if prices went up for both stores, technically there will be less buyers?