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aleksklad [387]
3 years ago
9

Solve the system of equations below algebraically 2x+3y=6 and -5x+2y=4

Mathematics
1 answer:
Charra [1.4K]3 years ago
7 0


Steps
I’m using elimination so I’m trying to get rid of y
To do that I multiply the first equation by 2 and the second by -3. Then solve
4x + 6x = 12
15x + -6x = -12
—————————
19x + 0 = 0
Divid by 19 to get x to one side. 0/19 is 0 so
X= 0
Plug that into an equation so 0 + 3y = 6
Divid by 3 and y = 2
Answer x = 0 y = 2
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If k = √31 and m = √26, which graph most closely represent the locations of K and M on a number line? The options are in the pic
Dmitry [639]

Answer:

First option

Step-by-step explanation:

√31 = 5.56....

√26 = 5.09....

So m is less than k but greater than 5.

k is greater than k but less than 6.

So the first option is more logical

8 0
3 years ago
Two solutions of different concentrations of acid are mixed creating 40 mL of a solution that is 32% acid. One-quarter of the so
Ymorist [56]

The 40 ml solution is said to be created from 10 ml and 30 ml solutions. In mixture problems, we equate the final mixture to its compositions given the concentration for each.  A 10 ml has 20% acid and the 30 ml has C (unknown). We can write the total liters for 10 ml as 10(.2) and 30(c) for the 30 ml. when two solutions were added, it should be equal to 40ml with 32% acid. Therefore, it should be written as 10(.2) + 30(c) = 40(.32). The answer is A

7 0
3 years ago
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Alexandra has 36 coins valued at $6.00. She has only nickels and quarters. Which equation can be used to solve for the number of
grandymaker [24]
0.05n + 0.25(36 – n) = 6
5 0
3 years ago
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Equations<br> Solve T = C(9+ AB) for B
MaRussiya [10]

Answer:

Simplifying

T = C(9 + AB) * forB

Reorder the terms for easier multiplication:

T = C * forB(9 + AB)

Multiply C * forB

T = forBC(9 + AB)

T = (9 * forBC + AB * forBC)

Reorder the terms:

T = (forAB2C + 9forBC)

T = (forAB2C + 9forBC)

Solving

T = forAB2C + 9forBC

Solving for variable 'T'.

Move all terms containing T to the left, all other terms to the right.

Simplifying

T = forAB2C + 9forBC

Step-by-step explanation:

Simplifying

T = C(9 + AB) * forB

Reorder the terms for easier multiplication:

T = C * forB(9 + AB)

Multiply C * forB

T = forBC(9 + AB)

T = (9 * forBC + AB * forBC)

Reorder the terms:

6 0
2 years ago
Explain how you know a system of equations has
shusha [124]
When they have no solutions, the lines are parlaell, or they have the same slope but different y intercept
example

3x+2y=2 and
3x+2y=4 are paralell
also
y=3x+2 and
y=3x+4 are also parlell, no solutions



infinite solutions are when they are the same line
they have the same slope and y intercept
to find out, simplify
3x+2y=4 and
6x+4y=8 are smae lien
also
y=3x+2 and
2y=6x+4 aer the same line


1 solution is when it is none of the above things
a normal thing, where the slopes are differnet
example
y=2x+2
y=3x+2
4 0
3 years ago
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