Substitution method

X = 4
2x - 3y = -19

Answers

Answer 1
Answer: \left\{\begin{array}{ccc}x=4\n2x-3y=-19\end{array}\right\n\left\{\begin{array}{ccc}x=4\n2\cdot4-3y=-19\end{array}\right\n\left\{\begin{array}{ccc}x=4\n8-3y=-19\end{array}\right\n\left\{\begin{array}{ccc}x=4\n-3y=-19-8\end{array}\right\n\left\{\begin{array}{ccc}x=4\n-3y=-27&/:(-3)\end{array}\right\n\left\{\begin{array}{ccc}x=4\ny=9\end{array}\right
Answer 2
Answer: 2(4)-3y=-19
8-3y=-19
-3y=-27
y=9

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the band members sold 316 juice drinks for a fundraiser. they sold 52 more grape drinks than strawberry drinks. how many of each type of juice drink did they sell?

Answers

s+g=316  "s"=strawberry "g"=grape
g=52+s

plug in for "g" to find "s"
s+(52+s)=316
2s+52=316
2s=316-52
2s=264
s=264/2
s=132

find "g" 
g=52+132
g=184
132 strawberry drinks and 284 grape drinks.

Simplify the expression. 7(3x + 5y) + 4y

Answers

=21x + 35y + 4y
= 21x + 39y

.31 is what in a fraction

Answers

To convert 0.31 into a fraction, use the place value system, where 0.31 is represented as 31/100.

To convert this decimal into a fraction,

Express the value of each digit in terms of its place value.

The given decimal number is .31

Write down the number as the numerator of the fraction: 31

Determine the denominator of the fraction based on the number of decimal places.

In this case, we have two decimal places,

So the denominator will be 100

Then the fraction is (31)/(100)

Simplify the fraction if possible.

In this case, the fraction 31/100 cannot be simplified further.

Hence, 0.31 as a fraction is  (31)/(100).

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the answer to this is 31/100

Which equation models the height, y, x seconds after firing?

Answers

i dont see any equations there

Charlie solved an equation, as shown below:Step 1: 5x = 30
Step 2: x = 30 – 5
Step 3: x = 25

Part A: Is Charlie's solution correct or incorrect? If the solution is incorrect, explain why it is incorrect and show the correct steps to solve the equation. (6 points)

Part B: How many solutions will this equation have? (4 points)

Answers

Part A:  Charlie's answer is incorrect. Part B: There is only 1 solution for this equation.

What is a linear equation?

A linear equation is an equation that has the variable of the highest power of 1.

The standard form of a linear equation is of the form Ax + B = 0.

Charlie solved an equation;

Step 1: 5x = 30

Step 2: x = 30 – 5

Step 3: x = 25

Part A:  Charlie's answer is incorrect.

In step 2 of Charlie's answer he subtracted 5 from each side. Since 5x is multiplication so, he must divide each side by 5 to get x by itself.

Step 1:  5x = 30

Step 2:  x = 30/5

Step 3:  x = 6

Part B: There is only 1 solution for this equation.

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Part A:  Charlie's answer is incorrect
In step 2 of Charlie's answer he subtracted 5 from each side.  Since 5x is multiplication, he must DIVIDE each side by 5 to get x by itself.  The problem should have worked out like this...

Step 1:  5x = 30
Step 2:  x = 30/5
Step 3:  x = 6

Part B:  There is only 1 solution for this problem.

What is 20 percent of 70 plants

Answers

p\%=(p)/(100)\n\n20\%=(20)/(100)=(2)/(10)=0.2\n\n20\%\ of\ 70\ plants:\n\n\boxed{0.2\cdot70\ plants= 14\ plants}