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Nookie1986 [14]

3 years ago

5

22. Solve the system

1 answer:

DaniilM [7]3 years ago

8 0

Equation 1) x + 6y = 2
Equation 2) 5x + 4y = 36

Multiply all of equation 1 by 5.

1) 5(x + 6y = 2)

Simplify.

1) 5x + 30y = 10
2) 5x + 4y = 36

Subtract equations from one another.

26y = -26

Divide both sides by 26.

y = -1

Plug in -1 for y in the first equation.

x + 6y = 2

x + 6(-1) = 2

Simplify.

x - 6 = 2

Add 6 to both sides.

x = 8

D : (8, -1)

~Hope I helped!~

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A ball is thrown and it follows a parabolic path. At each horizontal distance (x) the following equation models the ball’s heigh

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Answer D). 9 ft is correct

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Step-by-step explanation:

A ball is thrown and it follows a parabolic path. At each horizontal distance (x) the following equation models the ball’s height (y).

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6 0

4 years ago

Maya had $27. She spent all the money on buying 3 burgers for $x each and 2 sandwiches for $y each. If Maya would have bought 2

defon

Answer:

Option C

The student's conclusion is correct because the solution to the system of equations $3x+2y=27$ and $2x+y=16$ is $(5,6)$

Step-by-step explanation:

Let

x------> the cost of each burger

y-----> the cost of each sandwich

we know that

$3x+2y=27$ -----> equation A

$2x+y=(27-11)$

$2x+y=16$ ----> equation B

Solve the system of equations

Multiply the equation B by $-2$

$-2(2x+y)=-2*16$ -----> $-4x-2y=-32$ ------> equation C

Adds equation A and equation C

$3x+2y=27 \\-4x-2y=-32\\ ----------\\ 3x-4x=27-32\\ -x=-5\\x=5$

Substitute the value of x in the equation B

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$y=6$

The solution of the system of equations is the point $(5,6)$

so

The price of each burger is $\$5$

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