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3 years ago

Help! Which choice is the most efficient first step to solve this set of equations?

Mathematics

1 answer:

Dmitry [639]3 years ago

5 0

Answer:

Substitute 3x - 5 for y in the second equation.

Step-by-step explanation:

Generally, to solve the system of linear equations of x and y, the first step would be trying to eliminate x (or y).

Then turn the system into the equation of only y (or x).

Next, try to solve for y (or x).

Then substitute the solved y (or x) into the original system to work out x (or y).

**********

3 options (1 addition, 2 subtractions) do not eliminate x or y (x and y still exist after manipulation).

=> Remaining option relating substitution would be a reasonable choice.

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antonio make only one size of latte at his coffee shop. he uses 1/3 cup of milk in each drink how many lattes can antonio make

djverab [1.8K]

1/3 of a cup = 3/9 of a cup. If you have 7/9 of a cup, the most 3/9ths that can fit in it is two 3/9ths, which equals 6/9. 6/9 < 7/9. Another latte would give you 9/9, and 9/9 > 7/9 so that's not possible. So two lattes can be made with 7/9 cups of milk.

5 0

4 years ago

What is the sum of 12 – 57 and -3 + 4/?

Yuri [45]

Answer:

12-57= -45

-3+4 = 1

-45+1 = -44

5 0

3 years ago

Ethan went to the grocery store and bought bottles of soda and bottles of juice. Each bottle of soda has 45 grams of sugar and e

Anna35 [415]

9 bottles of soda and 10 juice bottles are purchased

Solution:

Given that,

Sugar contained by each soda bottle = 45 grams

Sugar contained by each juice bottle = 35 grams

Let,

x be the number of soda bottles

y be the number of juice bottles

Given that,

Ethan purchased a total of 19 bottles of juice

Therefore, we get,

x + y = 19 ---------- eqn 1

Ethan purchased a total of 19 bottles of juice and soda which collectively contain 755 grams of sugar

Therefore, we frame a equation as:

$45 \times x + 35 \times y = 755$

45x + 35y = 755 --------- eqn 2

Let us solve eqn 1 and eqn 2

From eqn 1,

x = 19 - y --------- eqn 3

Substitute eqn 3 in eqn 2

45(19 - y) + 35y = 755

855 - 45y + 35y = 755

10y = 100

y = 10

Substitute y = 10 in eqn 3

x = 19 - 10

x = 9

Thus 9 bottles of soda and 10 juice bottles are purchased

7 0

3 years ago

Fine the missing angle.. x=??

andrew-mc [135]

The opposite angles where two lines cross are called vertical angles. 

Say it with me: "Vertical angles are congruent!"

Answer: x=100

3 0

3 years ago

Read 2 more answers

Which pair of angles listed below are adjacent angles?

fomenos

Lets look at the question is asking:

They are looking for adjacent angles.

The geometrical definition for adjacent is neighboring.

So with this we can tell that They are looking for neighboring angles.

The adjacent/neighboring angles are

∠1 and∠2 and ∠3 and ∠4.

So since ∠3 and∠4 are not an option, we can make an educated guess that the answer is A.

(I feel slightly confused on this question, so if it wrong I am truly sorry!)

I hope this helped :)

5 0

3 years ago