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viktelen [127]
3 years ago
13

Solve, using the substitution method.

Mathematics
1 answer:
inna [77]3 years ago
8 0
Y - 2x = 8 . . . . (1)
16 + 4x = 2y . . (2)

From (1), y = 2x + 8 . . . (3)

Putting (3) into (2) gives
16 + 4x = 2(2x + 8) = 4x + 16
0 = 0

Therefore, there are infinite number of solutions.
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Paula made this model to show the sum of two mixed numbers. Write the addition equation shown by the model and solve it.
kipiarov [429]

Answer:

3\frac{2}{3} + 2\frac{2}{3} = 6\frac{1}{3}

Step-by-step explanation:

Given

See attachment for number line

Required

Determine the model

From the attachment, we can see that each partition is 1/3

The gray rectangle covers 11 partitions.

So:

Gray = 11 * \frac{1}{3}

Gray = \frac{11}{3}

Express as a mixed number

Gray = 3\frac{2}{3}

The black rectangle covers 8 partitions

So:

Black= 8 * \frac{1}{3}

Black= \frac{8}{3}

Express as a mixed number

Black= 2\frac{2}{3}

So, the model is:

Gray + Black = Total

Where Total is the point where the black rectangle stops

3\frac{2}{3} + 2\frac{2}{3} = 6\frac{1}{3}

5 0
3 years ago
Solving the equation
liubo4ka [24]

Answer:

y = 5

Step-by-step explanation:

Step 1: Write equation

-(4y + 2) - (-3y - 6) = -1

Step 2: Solve for <em>y</em>

  1. Distribute: -4y - 2 + 3y + 6 = -1
  2. Combine like terms: -y + 4 = -1
  3. Subtract 4 on both sides: -y = -5
  4. Divide both sides by -1: y = 5

Step 3: Check

<em>Plug in y to verify it's a solution.</em>

-(4(5) + 2) - (-3(5) - 6) = -1

-(20 + 2) - (-15 - 6) = -1

-22 - (-21) = -1

-22 + 21 = -1

-1 = -1

7 0
3 years ago
Geometry plz help super important
nirvana33 [79]

Answer:

because the triangle is an acute triangle all three sides are the same and because its cut in half HIK=HJK

Step-by-step explanation:

7 0
2 years ago
You make a scale drawing of a tree using the scale 5 in. = 27 ft. if the tree is 67.5 ft. tall, how tall is the scale drawing?
evablogger [386]
You would get the equivalent amount to 5in = ?ft then divide that by 67.5
8 0
3 years ago
Drag each number to the correct location on the table.
dlinn [17]

What's the table look like? (I will finish answer in comments)

8 0
3 years ago
Read 2 more answers
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