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nata0808 [166]
3 years ago
13

Solve the system of equations by substitution. Simplify your answer. Write the

Mathematics
1 answer:
pychu [463]3 years ago
4 0

Answer:

x = 5     y = 2

Step-by-step explanation:

3x + 2(3x - 13) = 19

3x + 6x - 26 = 19

9x = 45

x = 5

y = 3(5) - 13

y = 15 - 13

y = 2

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In parallelogram DEFG, DH equals X +3, HF equals 3Y, GH equals 2X -5 and HE equals 5Y plus to find the values of X and Y
daser333 [38]

The values of X and Y are 30 and 11 respectively

<h3>How to determine the values of X and Y?</h3>

The figure that represents the complete question is added as an attachment

The given parameters are:

DH = X +3

HF  = 3Y

GH = 2X -5

HE = 5Y

From the attached parallelogram, we have:

DH = HF

GH = HE

Substitute the known values in the above equation

X + 3 = 3Y

2X - 5 = 5Y

Make X the subject in X + 3 = 3Y

X = 3Y - 3

Substitute X = 3Y - 3 in 2X - 5 = 5Y

2(3Y - 3) - 5 = 5Y

Expand

6Y - 6 - 5 = 5Y

Evaluate the like terms

Y = 11

Substitute Y = 11 in X = 3Y - 3

X = 3*11 - 3

Evaluate

X = 30

Hence, the values of X and Y are 30 and 11 respectively

Read more about parallelograms at:

brainly.com/question/3050890

#SPJ1

8 0
1 year ago
A ramp is 50 feet long and has a 6° incline. A second ramp is 30 feet long and runs parallel to the first ramp. To determine the
Yuliya22 [10]

Answer:

a scalar between 0 and 1

Step-by-step explanation:

i just took the test on EdG. :)

8 0
3 years ago
X -5 -4 -3 -2 -1 0 1 2 3 f(x) -11 -3 5 13 21 29 37 45 53 (a) Determine the difference of outputs of any two inputs that are 1 un
alex41 [277]
A) I use x=-5; f(x)=-11 and x=-4; f(x)=-3. We get the range = -3-(-11)=8b)I use x=-5; f(x)=-11 and x=-3; f(x)=5. We get the range = 5-(-11)=16c)I use x=-5; f(x)=-11 and x=-2; f(x)=13. We get the range = 13-(-11)=24d) Range of input is equal with the ratios of the output. You can find the pattern of output above 8,16,and 24 can divided by 8 and give the result 1,2 and 3
Is that good for you?
Good Luck!
<3
5 0
3 years ago
An article is bought and sold with a profit of 25% of selling price.find the profit percent​
Viefleur [7K]

Answer:33 1/3%

Step-by-step explanation:

7 0
2 years ago
What is the slope and y-intercept of the line Y = 24x + 39
yaroslaw [1]
The slope is always attached to the x value in the formula y = mx + b. The slope will be in position m while the y-int is the variable b. Therefore your answer would be 24 is the slope and 39 is the y intercept
8 0
3 years ago
Read 2 more answers
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