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Lady_Fox [76]
2 years ago
15

X=2y-1 solve this equation 3x+y=11

Mathematics
1 answer:
Ugo [173]2 years ago
8 0

Step-by-step explanation:

substitute y into x

3(2y-1)+y=11

6y-3+y=11

add like terms

6y+y-3-11=0

7y-14=0

look for a common factor

7(y-2)=0

y-2=0

therefore y=0 or y=2

find x

if x=2y-1

x=2(0)-1

x=-1

if x=2y-1

x=2(2)-1

x=3

therefore (-1;0) and (3;2)

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Sam has 4 gallons of juice. Each glass holds 1/5 of a gallon . How many glasses can he fill
Softa [21]

Answer:

20

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6 0
3 years ago
I will attach a screenshot of the math problem.
Alekssandra [29.7K]

Complete the table for the function y = 0.1^x

The first step: plug values from the left column into the ‘x’ spot in the formula <u>y=0.1^x</u>.

* 0.1^-2 : We can eliminate the negative exponent value by using the rule a^-1 = 1/a. Keep this rule in mind for future problems. (0.1^-2 = 1/0.1 * 0.1 = 100).

* 0.1^-1 = 1/0.1 = 10

* 0.1^0 = 1 : (Remember this rule: a^0 = 1)

* 0.1^1 = 0.1

Our list of values: 100, 10, 1, 0.1

Now, we can plug these values into your table:

\left[\begin{array}{ccc}x&y\\2&10\\1&10\\0&1\\1&0.1\end{array}\right]

The points can now be graphed. I will paste a Desmos screenshot; try to see if you can find some of the indicated (x,y) values: [screenshot is attached]

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7 0
2 years ago
There are two numbers whose sum is 53. Three times the smaller number is equal to 19 more than the larger number. What are the n
julsineya [31]

18 and 35. The numbers whose sum 53 are 18 and 35.

The key to solve this problem is using a system of equations.

There are two numbers whose sum is 53. This number can be represented as x and y. So:

x + y = 53

Three times the smaller number is equal to 19 more than the larger. Let's set x as the smaller number and y the larger number. So:

3x = 19 + y

Clear y in both equations and let's use the equalization method to solve for x:

y = 53 - x and y = 3x - 19

Then,

53 - x = 3x - 19

53 + 19 = 3x + x ---------> 3x + x = 53 + 19 -------> 4x = 72

x = 72/4 = 18

To find y, let's substitute x = 18 in the equation x + y = 53

18 + y = 53 --------> y = 53 - 18

y = 35

6 0
3 years ago
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