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2 years ago

7

Drag the correct symbol into the box to compare expessions 6^2-2^2___4(6+2) A.≠ B.=

1 answer:

Mnenie [13.5K]2 years ago

8 0

Simplify both sides to compare:

6^2 - 2^2 = 36-4 = 32

4(6+2) = 4 x 8 = 32

they are equal to each other.

Answer: B. =

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1. What is the value of the y variable in the solution to the following system of equations?

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Part 1)

we have

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$7x-5y=-11$ ------> equation B

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$-21x+42y=-21 \\21x-15y=-33\\---------- \\ 42y-15y=-21-33\\27y=-54 \\ y=-2$

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Part 2)

we have

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$3x+y=4$

$y=-3x+4$ ------> equation B

the lines A and B are parallel lines, because the slope m is equal

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we have

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$6x-6=6$

$6x=12$

$x=2$

therefore

<u>the answer part 3) is the option D</u>

$x=2$

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Let

x---------> The number of one-step equations

y---------> The number of two-step equations

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$x+y=1,120$

$x=1,120-y$ -------> equation A

$3x-2y=1,300$ ------> equation B

substitute equation A in equation B

$3[1,120-y]-2y=1,300$

$3,360-5y=1,300$

$5y=3,360-1,300$

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$y=412$

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<u>the answer part 4) is the option D</u>

$y=412$

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