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DerKrebs [107]
2 years ago
13

Solve the simultaneous equations

Mathematics
2 answers:
satela [25.4K]2 years ago
7 0
I use the substitution method, but you can also use elimination and matrix

1. Solve for y in 3x+y=14
y=14-3x

2. Substitute y=14-3x into x+2y=3
-5x+28=3

3. Solve for x in -5x+28=3
x=5

4. Substitute x=5 into y=14-3x
y=-1

5. Therefore,
x=5
y=-1

Have a nice day :D
Iteru [2.4K]2 years ago
5 0
You can use a bunch of different methods here, but I'll use substitution.

For the second equation, you can bring the 2y to the right side to isolate the x:

x=-2y+3

You can then substitute this into the first equation to find out y:

3x+y=14
3(-2y+3)+y=14
-6y+9+y=14
-5y=5
y=-1

Now you can plug in y to the second equation to find x:

x=-2y+3
x=-2(-1)+3
x=2+3
x=5

Therefore:
x=5
y=-1
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Answer:

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kipiarov [429]
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5 0
3 years ago
1<br> Which sequence of transformations takes AA to its image, AB ?
lianna [129]

A rigid transformation preserves the dimensions of the image

The option that gives the sequence of transformation that takes ΔB to ΔB is  the option B.

<u>(B) Reflection across y-axis and a translation 2 units down </u>

Reason:

Question: The sequence of transformation that takes ΔA to image ΔB

<em>From a similar question, we have, ;</em>

<em>The vertices of triangle ΔA are; (-8, 9), (-9, 4), (-3, 4)</em>

<em>The vertices of triangle ΔB are; (8, 7), (3, 2), (9, 2)</em>

<em>The options are; </em>

<em>(A) Reflection over the x-axis and 2 units translation down</em>

<em>(B) Reflection over the y-axis and 2 units translation down</em>

<em>(C) 90° rotation after a translation of 2 units down</em>

<em>(D) 90° rotation after a translation of 12units right</em>

Solution;

The length of the base of ΔA = -3 - (-9) = 6

The length of the base of ΔB = 9 - 3 = 6

Therefore, the length s of triangle A and triangle B are equal

The orientation of the base of ΔA and ΔB are both horizontal

The location of the the side that traverses four cells are both furthest from the y-axis, or the vertical

Therefore, ΔB is a reflection of ΔA across the y-axis

We also have;

The base of ΔB is 2 units lower than the base ΔA

Therefore, the correct option is option B, reflection across y-axis and a translation 2 units down

Learn more here;

brainly.com/question/23461633

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3 years ago
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pickupchik [31]
9 is the answer

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