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earnstyle [38]
2 years ago
11

Solve the system by substitution.

Mathematics
1 answer:
kirill [66]2 years ago
8 0
<h2>Answer:</h2>

x = 1

y = 1

<h3>Step-by-step explanation:</h3>

y=-3x+4\\ y=x

Substitute into one of the equations

-3x+4=x

Rearrange variables to the left sider of the equation

-3x-x=-4

Combine like terms

-4x=-4

Divide both sides of the equation by the coefficient of variable

x=\frac{-4}{-4}

Determine the sign for multiplication or division

x=\frac{4}{4}

Cross out the common factor

x=1

Substitute into one of the equations

y=1

The solution of the system is

\left \{ {{x=1} \atop {y=1}} \right.

<em>I hope this helps you</em>

<em>:)</em>

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A batting machine uses an automatic baseball feeder. During baseball
Inessa05 [86]

The feeders in battling machine are represented in proportions and fractions.

  • The equation that represents the problem is: \mathbf{\frac 16x + 15 = \frac 23x}
  • The feeder can hold <em>30 baseballs</em>, when full

The given parameters are:

<em />\mathbf{Initial = \frac 16x}<em> ------ 1/6 full</em>

<em />\mathbf{Additional = 15}<em> --- baseballs added</em>

<em />\mathbf{Final = \frac 23x}<em> ---- 2/3 full</em>

<em />

So, the equation that represents the problem is:

\mathbf{Initial + Additional = Final}

So, we have:

\mathbf{\frac 16x + 15 = \frac 23x}

The number of baseballs it can hold is calculated as follows:

\mathbf{\frac 16x + 15 = \frac 23x}

Multiply through by 6

\mathbf{x + 90 = 4x}

Collect like terms

\mathbf{4x - x = 90 }

\mathbf{3x = 90 }

Divide through by 3

\mathbf{x = 30 }

Hence, the feeder can hold 30 baseballs, when full

Read more about proportions and fractions at:

brainly.com/question/20337104

5 0
2 years ago
Is the following statement a good definition? Why? An integer is divisible by 100 if and only if its last two digits are zeros.
kifflom [539]
The given statement is:
An integer is divisible by 100 if and only if its last two digits are zeros

The two conditional statements that can be made are:

1) If an integer is divisible by 100 its last two digits are zeros.

This is a true statement. If a number is divisible by 100, it means 100 must be a factor of that number. When 100 will be multiplied by the remaining factors, the number will have last two digits zeros. 

2) If the last two digits of an integer are zeros, it is divisible by 100.

This is also true. If last two digits are zeros, this means 100 is a factor of the integer. So the number will be divisible by 100.

Therefore, the two conditional statements that are formed are both true.

So, the option A is the correct answer.
Yes, it is. When the definition is separated into two conditional statements, both of the statements are true
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3 years ago
Is 1.8L greater than 1,500 ML
Nata [24]

Answer:

yes

Step-by-step explanation:

8 0
2 years ago
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What is the distance between the points (2, 1) and (14, 6) on a coordinate
Naddika [18.5K]
The distance between the points (2,1) and (14,6) on a coordinate is C. 13 units
8 0
3 years ago
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Chris and lisa went shopping and spent a total of $25.50. Lisa spent $13.50 more than chris spent. Hiw much did lisa spend?
baherus [9]

Answer:

12$

Step-by-step explanation:

$25.50-$13.50=$12

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