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Pavlova-9 [17]
3 years ago
8

Elimination Method 7x=3y+45 4x+5y=19 (Show it step by step please!)

Mathematics
1 answer:
Fittoniya [83]3 years ago
8 0

\left\{\begin{array}{ccc}7x=3y+45&|\text{subtract 3y from both sides}\\4x+5y=19\end{array}\right\\\left\{\begin{array}{ccc}7x-3y=45&|\text{multiply both sides by 5}\\4x+5y=19&|\text{multiply both sides by 3}\end{array}\right\\\underline{+\left\{\begin{array}{ccc}35x-15y=225\\12x+15y=57\end{array}\right}\qquad|\text{add both sides of the equations}\\.\qquad47x=282\qquad\text{divide both sides by 47}\\.\qquad \boxed{x=6}\\\\\text{Put the value of x to the second equation}

4(6)+5y=19\\\\24+5y=19\qquad\text{subtract 24 from both sides}\\\\5y=-5\qquad\text{divide both sides by 5}\\\\\boxed{y=-1}\\\\Answer:\ \boxed{x=6\ and\ y=-1}

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LenKa [72]

If Connie spent $26 on 8 books, The number of hard covers she buy is 5 hard cover.

<h3>Number of hardcover bought</h3>

Let h represent hard cover

Let p represent paperbacks

Formulate an equation

h + p= 8.......(1)

4h + 2p= 26......(2)

Multiply equation (1) by -2

-2h + -2p = -16

<u> 4h  +  2p   = 26</u>

2h  +   0p =10

2h = 10

Divide both side by 2h

h=10/2

h =5 hard covers

Paper backs

P=5-2

P=3 paper backs

Therefore If Connie spent $26 on 8 books, The number of hard covers she buy is 5 hard cover.

Learn more about Number of hardcover bought here:brainly.com/question/18306224

#SPJ1

6 0
1 year ago
Are the following functions linear or nonlinear?
exis [7]

Answer:

The chart is linear, the graph is not.

Step-by-step explanation:

Because the graph is curved and not straight, it is non-linear. You can also tell that this is non-linear because the rate of change, or slope, is inconsistent. The chart is linear because it has a consistent slope. I hope this helps, have a nice day. :-)

8 0
3 years ago
PLEASE HELP!! 48 POINTS!!
Likurg_2 [28]
The exact number is 121.966019, so if you round to the nearest whole number, the answer is 122.
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3 years ago
Mark spins a penny 100 times and it lands head side up 41 times. Explain why Mark's experimental probability may be different fr
astra-53 [7]

Answer:

Hey there!

This is because the theoretical probability is different from the experimental probability. The theoretical probability is what is expected, but the experimental probability is what actually happens.

Hope this helps :)

4 0
3 years ago
Read 2 more answers
One number exceeds another number by 11. The sum of the numbers 77. What are the numbers?
monitta
One number (a) exceeds another number (b) by 11 so
a = b+11
a + b = 77

Substitute the equation for a into the second equation
(b+11) + b = 77
multiply each side by 1 to remove parentheses
b + 11 + b = 77
Combine like terms
2b + 11 = 77
Isolate the variable
2b = 77-11
Simplify
2b = 66
Divide by 2
b = 33
Now substitute b back into the initial equation for a
a = (33) + 11
a = 44

Check your work by substituting both values into the second equation
44 + 33 = 77
This is true, so 44 and 33 are solutions
7 0
2 years ago
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