The graph<span> of an </span>inequality in two variables<span> is the set of points that represents all solutions to the </span>inequality<span>.
A </span>linear inequality<span> divides the coordinate plane into </span>two <span>halves by a boundary line where one half represents the solutions of the </span>inequality. The boundary line is dashed for > and < and solid for ≤ and ≥.<span>A way to solve a linear system algebraically is to use the substitution method.
</span>The graphs of equations<span> within a </span>system<span> can </span>tell<span> us how </span>many solutions<span> exist for </span>Infinite Solutions<span>. </span>If <span>the graphs of the </span>equations<span> intersect, then there is </span>one solution<span> that is true for Looking at the graph does </span>not tell<span> us exactly where that point is, but we don't So a </span>system<span> made of two intersecting lines </span>has one solution.
Two equations that have the same solution are called equivalent<span> equations e.g. The addition </span>property<span> of equality tells us that adding the same number to. We can also </span>use<span> this example with the pieces of wood to explain the </span><span>are </span>equal<span> as well.</span>
Answer:
Step-by-step explanation:
but if
then since
so
or
Step-by-step explanation:
3(5x - 4) = 2(7x)
=> 15x - 12 = 14x
=> x = 12
<em>By the options given, I would say none of the options are correct!</em>
Answer:
a. No
b. Yes
c. No
d. Yes
e. Yes
Step-by-step explanation:
3(x+2) simplified is equal to (3)x+(3)2 which is simplified to 3x+6.
a. 3x+2 is not the same as 3x+6 so it is false.
b. 3(2+x) is simplified to (3)2+3(x) which is simplified to 6+3x or 3x+6 which is equal to 3x+6 so it is true.
c. 3x+2x is simplified to 5x which is not equal to 3x+6 so it is false.
d. x+2x+2+4 is simplified to 3x+6 which is equal to 3x+6 so it is true.
e. x+x+x+1+1+1+1+1+1 is simplified to 3x+6 which is equal to 3x+6 so it is true.
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