2 years ago

On which number line are −4 and its opposite shown?

Mathematics

1 answer:

Natasha2012 [34]2 years ago

5 0

Answer:

it is D because it is asking for the opposite of -4 so it would be the tick mark on -4 and 4

Step-by-step explanation:

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Trevor solved the system of equations below. What mistake did he make in his work? 2x + y = 5 x − 2y = 10 y = 5 − 2x x − 2(5 − 2

Arturiano [62]

$2x+y=5 \\
x-2y=10 \\ \\
y=5-2x \\
x-2(5-2x)=10 \\
x-10+4x=10 \\
5x-10=10 \\
\boxed{5x=0} \Leftarrow \hbox{the mistake, it should be 5x=20} \\
x=0 \\ \\
2(0)+y=5 \\
y=5$

If 2x+y=5, then y=5-2x, so he substituted 5-2x correctly.
x+4x=5x, so he combined like terms correctly.
If 5x-10=10, then 5x=10+10 -> 5x=20, so he subtracted 10 from the right side instead of adding 10 to the right side.

The answer is C.

Here's the correct solution:
$2x+y=5 \\
x-2y=10 \\ \\
y=5-2x \\
x-2(5-2x)=10 \\
x-10+4x=10 \\
5x-10=10 \\
5x=10+10 \\
5x=20 \\
x=\frac{20}{5} \\
x=4 \\ \\
y=5-2x \\
y=5 - 2 \times 4 \\
y=5-8 \\
y=-3 \\ \\
(x,y)=(4,-3)$

5 0

2 years ago

On a map, 1 inch equals 25 miles. Two cities are 2 inches apart on the map. What is the actual distance between the cities?

Levart [38]

The actual distance between the cities is 50 miles

4 0

2 years ago

Read 2 more answers

To solve for y in the equation 2y + y = 5, what first step would need to be taken? Subtract 2 from each side. Add 2y and y. Subt

cricket20 [7]

Answer:

Add 2y and y.