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DIA [1.3K]
2 years ago
6

What is the solution of the system of equations shown below? y = –x + 3 y = 4x – 2

Mathematics
2 answers:
professor190 [17]2 years ago
8 0

y=-x+3~~.....(i)\\\\y = 4x-2~~....(ii)\\\\\text{Substitute}~ y = -x+3~ \text{in equation (ii):}\\\\\\-x+3 = 4x-2\\\\\implies 4x +x = 3+2\\\\\implies 5x = 5\\\\\implies x = \dfrac 55 =1\\\\\\\text{Substitute x= 1 in equation (i):}\\\\y= -1 +3 = 2\\\\\text{Hence}~ (x,y)=(1,2)

vladimir2022 [97]2 years ago
7 0

Answer:

b

Step-by-step explanation:

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Trigonometric ratios, Side length. 15 points AND brainliest.
Oduvanchick [21]

Answer:

Side GI= 2

Step-by-step explanation:

Photo attached, used SOH CAH TOA method.

8 0
3 years ago
Chloe notices that segment ST and segment VW are congruent in the image below.
IgorLugansk [536]
The SAS similarlity theorem is the type of similarlity that show that two triandles are similar by showing that two of the sides are similar with the angle between the two sides also similar.

Thus, given that <span>segment ST and segment VW are congruent, and also from the image it can be seen that angle S is congruent to angle V.

Thus, to show that </span>ΔSTU ≅ ΔVWX, we have to show that <span>US≅XV.

There</span>fore, the <span>step that could help her determine if ΔSTU ≅ ΔVWX by SAS is<span> US≅XV</span></span>
5 0
3 years ago
14+y = 3y+2, Find y with a step-by-step explanation.
mrs_skeptik [129]

Answer:

y= 6

Step-by-step explanation:

1. Rearrange the terms before the equal sign: 14+y=3y+2-> y+14=3y+2

2. Subtract 14 from both sides: y+14=3y+2-> y=3y-12

                                                     -14       -14

3. Subtract 3y from both sides: y=3y-12-> y-3y= -12

                                                -3y  -3y  

4. Combine like terms: y-3y= -12-> -2y= -12

                                      1-3 keep the y

5. Divide both sides by -2: -2y= -12-> y= 6

                                              /2    /2

6. So, you're left with y= 6

6 0
2 years ago
Find the mean, median, and mode of the data set? 15, 16, 21, 23, 25, 25, 25, 39
frozen [14]

Answer:

Median: 24

Mode: 25

Mean: 29

7 0
3 years ago
Read 2 more answers
5.which of the following ordered pairs is a solution of the given system of linear equations
liq [111]

Answer:

the answer is d

Step-by-step explanation:

answers are shown

4 0
3 years ago
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