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tatiyna
4 years ago
7

Solving equations using algebra

Mathematics
1 answer:
krek1111 [17]4 years ago
6 0
The answer is equal to 3/4 because 2/4 plus 1/4 is equal to 3/4. 
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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
3 years ago
What is 71% of 1,000?
pantera1 [17]

Answer:710

Step-by-step explanation:

10 x 10 is 100

100 x 10=1000

71 x 10=710

8 0
3 years ago
Read 2 more answers
What is squared to equal 64?
Phantasy [73]
Find two numbers that will go Into 64. \\ 8*8=64 \\ \\  \sqrt{64}=\boxed{8} \\ Hoped I helped. :)
5 0
4 years ago
Read 2 more answers
Allen built these figures using triangular tiles. What would
Klio2033 [76]

Answer:

The first one 10 units would be the perimenter of the tenth figure.

3 0
3 years ago
Read 2 more answers
Solve each inequality. Graph and check the solution.
goldfiish [28.3K]
1. -4x > -16...divide by -4 and change inequality sign
     x < -16/-4
     x < 4

2. -y/2 < 6 ...multiply both sides by 2
     -y < 12 ...multiply both sides by -1 and change inequality sign
      y > -12

3. -5a < -20....divide both sides by -5 and change inequality sign
     a > -20/-5
     a > 4

4. -b/2 > -1....multiply both sides by 2
     -b > -2...multiply both sides by -1 and change inequality sign
     b < 2

5. -4b < 24....divide both sides by -4 and change inequality sign
     b > -24/4
    b > - 6

6. -7c < -14....divide both sides by -7 and change inequality sign
     c > -14/-7
     c > 2

7. -d/3 > -9...multiply both sides by 3
    -d > -27...multiply both sides by -1 and change inequality sign
     d < 27
8 0
3 years ago
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