All categories

3 years ago

Find value of x and y 4.)2x-3y=-15 x=4y

2 answers:

8 0

$\left\{\begin{array}{ccc}2x-3y=-15\\x=4y\end{array}\right\\\\substitute\\\\2\cdot4y-3y=-15\\8y-3y=-15\\5y=-15\ \ \ \ \ |both\ sides\ :5\\y=-3\\\\x=4\cdot(-3)=-12\\\\Solution:x=-12\ and\ y=-3.$

bija089 [108]3 years ago

8 0

2x - 3y = -15
x = 4y
substitute x frm eq2 to eq1
2 (4y) - 3y = -15
8y - 3y = -15
5y = - 15
y = -3
substitute y in eq2
x = 4(-3)
x = -12
y = -3 , x = -12

You might be interested in

Complete the equation of the line through (-10,-7) and (-5, -9). Use exact numbers,

steposvetlana [31]

Answer:

$y=\frac{-5}{2}*x + 18$

Step-by-step explanation:

A line in 2-dimensional space has the following general equation:

$y=m*x+b$

Where m is the slope of the line, and b just a number

the slope can be obtaine using th following formula:

$m=\frac{x_{2} - x_{1} }{y_{2} - y_{1}}$

The point 2 is the one with the smallest value for x, that is (-10,-7) and the Point 1 is any other that belongs to the line, in this case, (-5,-9)

$m=\frac{-5 - (-10) }{-9 - (-7)}$

Resulting that $\frac{-5}{2}$

To find the other term we can use any other point, I prefer us the first one so...

We have the following equation:

$-7=\frac{-5}{2}*(-10)+b$

Resulting that b=18

I just have to eval the point (-10,-7) in the equation stated at the beginning knowin that m was calculated previously.

8 0

3 years ago

Read 2 more answers

Evaluate x+y when x=13 and y=−74. Write your answer as a fractionin simplest form

Fofino [41]

The value of the expression is -35.

Step-by-step explanation:

Consider the provided expression.

3x + y 

We need to find the value of the expression for x=13 and y=−74 .

Substitute the value of x=13 and y=−74 in the above expression as shown:

3 (13) + (-74)

39 - 74 

-35

 the value of the expression is -35.

6 0

3 years ago

Use the graphs of f and g to solve Exercises 87, 88, and 89.

Nadya [2.5K]

Answers and explanations:

87. The domain of added functions includes the restrictions of both. So the range of the added function in this question is [-4, 3]

88. When finding the domain of a divided function we do the same as adding, but with an extra rule: g can't equal zero. So for this question the domain is (-4, 3)

89. To graph f + g you add the y-values for each x-value. I added a picture to help explain this one!

4 0

3 years ago

Find the rate of discount for a pair of pants that cost 65$ and are on sell for 39

lutik1710 [3]

Answer: 65 - $39 = $26 >> amount you save

26 / 65 = 0.4 = 40% >> discount rate

Step-by-step explanation:

6 0

3 years ago

How many tickets were sold after June 15th?

AysviL [449]

Answer: About 45.

Step-by-step explanation: There's always a pattern in these kinds of questions, you can see for 9th to 13th August, the number has always been between 20 to 40. And since on 13th August the graph is on a rise again, it would be around 45. 90 is just not realistic considering there's only an increase of around 5-10 tickets every day.

8 0

3 years ago