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HELP ME PLEASE!

1. Make up an equation that has no solution and explain what that means. (Hint: It has to be a real explanation, not just "it doesn't work").

2. Identify the terms, like terms, coefficients, and constants in the expression.
-3a + 9c - 7c + 4 + 10a

1 Answer

6 votes

Answer:

1. 2x+7=2x+2 (would eventually get 7=2 which isn't true

2. like terms would be -3a and 10a, 9c and -7c, and 4 is by itself----coefficents would be the number before a varible so -3, 9, -7, and 10------finally the constants would be the numbers by itself so 4

(if you simplify this equation it would be 7a + 2c + 4 since you're combining like terms)

Explanation:

1. An equation with no solution means that after simplification you determine it isn't possible this would be things like 2=7 or 1=3 which just aren't true so since they aren't a real equation they are labeled as "no solution" (P.S. if you don't know what infinetly many solutions is eithier it's basically when you have an equation that results in an answer like 0=0 or 5=5 where we know that it is true but I't doesnt give a real value for any of the variables so their are infinite possibilities for the variables value)

2. Like terms - terms that share a common variable (or lack therof) so if you had two numbers with the variable "a" after them you could combine them and the same applies with whole numbers so you could add -5 and 7 together

Coefficeints - basically just the variable in an equation so a value like "x" or "a" that comes after a number

Constants - Any number not followed by a varible so any whole number really for example in 4x+3=5 the 3 and 5 would be considered constants as they are real numbers

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