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Yuri [45]
3 years ago
6

Here is a linear equation in two variables: 2x+4y−31=123. Solve the equation, first for x and then for y.

Mathematics
1 answer:
Allushta [10]3 years ago
7 0

Answer:

x = 77 - 2y

y = \frac{77 - x}{2}

Step-by-step explanation:

Given

2x + 4y - 31 = 123

Required

Solve for x and for y

2x + 4y - 31 = 123

Add 31 to both sides

2x + 4y - 31+31 = 123+31

2x + 4y  = 154

Solving for x

Subtract 4y from both sides

2x + 4y - 4y = 154 - 4y

2x = 154 - 4y

Divide by 2

x = 77 - 2y

Solving for y

2x + 4y  = 154

Subtract 2x from both sides

2x - 2x + 4y = 154 - 2x

4y = 154 - 2x

Divide by 4

y = \frac{154 - 2x}{4}

Split

y = \frac{77 - x}{2}

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Given 2 and 1 over 10 times negative seven times 5 over 12, determine the product.
yKpoI14uk [10]

The solution to the algebra 2 and 1 over 10 times negative seven times 5 over 12 is; negative six and 1 over 8

<h3>How to Multiply Fractions?</h3>

2 and 1 over 10 times negative seven times 5 over 12 can also be expressed as; 2¹/₁₀ * ⁽⁻⁷ * ⁵⁾/₁₂

Multiplying out the bracket gives;

²¹/₁₀ * -³⁵/₁₂

Dividing by common factors gives;

= ⁷/₂ *  ⁻⁷/₄

= -49/8

= -6¹/₈

This can also be written as negative six and 1 over 8

Thus, we conclude that the solution to the algebra 2 and 1 over 10 times negative seven times 5 over 12 is; negative six and 1 over 8

Read more about Multiplication of fractions at; brainly.com/question/7335118

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4 0
2 years ago
Which of the following statements is true about the values of the coordinate points in a figure when the figure is reflected ove
Nady [450]

Answer:

they will have the same y-coordinate from the point it was reflected because it is reflected over the y-axis.

but you didn't provide the following statements, so i do not know.

8 0
4 years ago
Will give brainliest.
Dennis_Churaev [7]
Pretty sure it's A. (X times .5 equals Y)
8 0
3 years ago
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TAKE ANY UNMARKED BOWL OR GLASS AND FILL IT EXACTLY 3/5 FULL WITH WATER.
Wittaler [7]

Answer:

Take a glass, and fill it completely with water.

Now, pour that water in a marked bowl and measure how much water is in the bowl, that amount of water will be 100% of the total water that the glass can have.

Now you need to pour 3/5 of the water back in the glass, it is easier for water until the water in the bowl is exactly 2/5 of the initial amount.

You can do this as follows.

2/5 = 0.4 or 40% in percentage form.

Then if the amount of water in the marked bowl is A, the amount of water that must remain in the marked bowl is A*0.4

Then drop the water in the glass until the water in the marked bowl is the quantity that you found previously.

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8 0
4 years ago
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