Hello! 3x + 20 and 8x - 5 are equal. To find the value of "x", we should set up and solve an equation. It would be written like this:
3x + 20 = 8x - 5
First off, subtract 3x from both sides in order to get 20 = 5x - 5. Add 5 to both sides to get 25 = 5x. Now, divide each side by 5 to isolate the "x". 25/5 is 5. Now, let's plug in the value and see if it works. 3 * 5 is 15. 15 + 20 is 35. 8 * 5 is 40. 40 - 5 is 35. 35 = 35. There. x = 5.
9514 1404 393
Answer:
C. Equivalent ratios are ratios that name a different, unequal ratio.
Step-by-step explanation:
Statement C simply makes no sense. It cannot be considered to be true.
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Statement D seems to be missing a word: ... the rate is called a unit <em>rate</em>.
Answer:
(1,2)
(3,3)
(-1/2, 11/2)
Step-by-step explanation:
A system of equations is 2 or more equations for which the same x,y solution exists. We can solve the system in three ways: elimination, substitution, or graphing. Substitution can be used by substituting the value of one variable into the equation.
<u>Pair x=3y-5 and x+y=3</u>
Because x=3y-5, we can substitute 3y-5 into x in x+y=3
x+y=3
(3y-5)+y=3
3y-5+y=3
4y-5=3
4y-5+5=3+5
4y=8
y=2
We now substitute y=2 into x=3y-5.
x=3y-5
x=3(2)-5
x=6-5
x=1
<u>Pair y=x and 3x+3y=18</u>
Because y=x, we can substitute x into y in 3x+3y=18
3x+3y=18
3x+3x=18
6x=18
x=3
We now substitute x=3 into y=x.
y=3.
<u>Pair y=-3x+4 and 5x-y=0</u>
Because y=-3x+4, we can substitute -3x+4 into y in 5x-y=0
5x-y=0
5x-(-3x+4)=0
5x+3x+4=0
8x+4=0
8x=-4
x=-1/2
We now substitute x=-1/2 into y=-3x+4
y=-3x+4
y=-3(-1/2)+4
y=3/2+4
y=11/2
