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3 years ago

1. Solve the following system by graphing. 3x + 4y = 12 2x − y = 8

Mathematics

1 answer:

Vinil7 [7]3 years ago

8 0

Answer:

(4,0)

Step-by-step explanation:

can i have a brainlest

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Pls solve the simultaneous equation in the attachment.

siniylev [52]

Answer:

Part a) The solution is the ordered pair (6,10)

Part b) The solutions are the ordered pairs (7,3) and (15,1.4)

Step-by-step explanation:

Part a) we have

$\frac{x}{2}-\frac{y}{5}=1$ ----> equation A

$y-\frac{x}{3}=8$ ----> equation B

Multiply equation A by 10 both sides to remove the fractions

$5x-2y=10$ ----> equation C

isolate the variable y in equation B

$y=\frac{x}{3}+8$ ----> equation D

we have the system of equations

$5x-2y=10$ ----> equation C

$y=\frac{x}{3}+8$ ----> equation D

Solve the system by substitution

substitute equation D in equation C

$5x-2(\frac{x}{3}+8)=10$

solve for x

$5x-\frac{2x}{3}-16=10$

Multiply by 3 both sides

$15x-2x-48=30$

$15x-2x=48+30$

Combine like terms

$13x=78$

$x=6$

<em>Find the value of y</em>

$y=\frac{x}{3}+8$

$y=\frac{6}{3}+8$

$y=10$

The solution is the ordered pair (6,10)

Part b) we have

$xy=21$ ---> equation A

$x+5y=22$ ----> equation B

isolate the variable x in the equation B

$x=22-5y$ ----> equation C

substitute equation C in equation A

$(22-5y)y=21$

solve for y

$22y-5y^2=21$

$5y^2-22y+21=0$

Solve the quadratic equation by graphing

The solutions are y=1.4, y=3

see the attached figure

<em>Find the values of x</em>

For y=1.4

$x=22-5(1.4)=15$

For y=3

$x=22-5(3)=7$

therefore

The solutions are the ordered pairs (7,3) and (15,1.4)

3 0

3 years ago

30 points please..I will report your answer if not right Thanks

ella [17]

<h3>Answer: SAS</h3>

=================================

How to get this answer:

We're told that AD = BC, so that is one pair of sides that are congruent. This forms the first "S" in "SAS"

The "A" refers to the congruent angles, which happen to be angle DAB and angle CBA, both are 90 degrees

The second "S" in "SAS" is the second pair of congruent sides. Those two sides are the overlapping shared side of AB. It might help to peel the two triangles apart to get a better look.

Note how the angles are between the two pairs of sides mentioned.

4 0

3 years ago

Help plsssssssssssssssssssssssssssssss

Akimi4 [234]

Answer:

From smallest to greatest: -6, -3, 0, 1, 5

Step-by-step explanation:

The negative numbers will be on the left side of 0, and the positive numbers will be on the right side of 0.

3 0

2 years ago

33. The perimeter of a room is 22m.lf<br> the length of the room is 6.5m,<br> what is its width?

vredina [299]

The formula for perimeter is 2(Length) + 2(width)

Fill in the known information:

22 = 2(6.5)+ 2(width)

Simplify:

22 = 13 + 2(width)

Subtract 13 from both sides:

9 = 2(width)

Divide both sides by 2:

Width = 4.5m

4 0

3 years ago

Emilio has 8,450 trees to plant in row of his tree garden.He will plant 125 trees per row.How many full rows of trees will he ha

Gnoma [55]

Answer:

67 full rows

Step-by-step explanation:

8450÷125 =67.6 since the .6 isn't a full row there is 67 full.

6 0

3 years ago