The answer for this question is x=32
There are 21 red pens. For every 3 red pens, there is 1 blue pen.
Let's make these into a fraction equation.
21/p=3/1
p is the number of blue pens we have yet to find.
First, cross multiply.
21x1=21
px3=3p
Now, we have an equation of
21÷3p
We set it equal to 1, and we solve it.
21÷3p = 1
(21÷3p)×3p=1×3p
21=3p
21÷3=(3p)÷3
7=p
So, if there are 21 red pens, there are 7 blue pens.
We add these together to find the total number of pens the teacher has.
21+7=28
The teacher has 28 pens total.
3x+ 4 = 20
First you SUBTRACT 4 from both sides . Since these are inequalities we do reverse PEMDAS (Parentheses , Exponents , Multiply , Divide , Add ,Subtract). Then you will have an equivalent equation of
3x=16
Now we have to isolate X . So we divide 3 by both sides . Which will get 5.3333...
Therefore , The answer will be
The first step in solving the equation is to<u> SUBTRACT </u> from each side . This is an example of the <u>subtraction</u> property of <u>EQUALITY</u>
Step-by-step explanation:
The original number is x.
The new number is 3x + 5.
We know that 0.5(3x + 5) = 16, so 3x + 5 = 32.
3x + 5 = 32, 3x = 27, x = 9.
Hence the original number is 9.
Answer:
(5, -3)
Step-by-step explanation:
Substitute -2x + 7 for y in the 2nd equation, and then solve the resulting equation for x:
-2x + 7 = 0.5x - 5.5
Combining like terms, 2.5x = 12.5, or x = 5.
Subbing 5 for x in the first equation, we get: y = -2(5) + 7 => y = -3
The solution is (5, -3)
