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LenaWriter [7]
3 years ago
13

x + 3y = 7 x - 3y = 1 Solve the system of equations. A) x = 4, y = 1 B) x = 1, y = 4 C) x = - 2 3 , y = 3 D) x = 3, y = - 2 3

Mathematics
2 answers:
Alik [6]3 years ago
6 0
X+3y=7
x-3y=1
add them together

x+3y=7
<u>x-3y=1 +
</u>2x+0y=8

2x=8
divide 2
x=4
subsitute
x+3y=7
4+3y=7
subtract 4
3y=3
divid 3
y=1

x=4
y=1

answer is A
<u />
Bumek [7]3 years ago
6 0
X + 3y = 7 
<span>x - 3y = 1

x + 3y = 7
   - 3y    -3y

x = 7 - 3y

</span><span>x - 3y = 1
</span>7 - 3y - 3y = 1
7 -6y = 1
-7         -7

-6y = -6
y = 1

Now solve for x
<span>
X + 3y = 7
</span>x + 3 = 7
x = 4

Now we have our values:-
x = 4 and y = 1

Answer: <span>A) x = 4, y = 1</span>
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The sum of the measures of the angles of a triangle is 180. The sum of the measures of the second and third angles is five times
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Answer:

x=30\\y=68\\z=82

Step-by-step explanation:

x = measure of the first angle

y = measure of the second angle

z = measure of the third angle

The sum of the measures of the second and third (y+z) is five times the measure of the first angle (=5x)

y+z=5x

The third angle is 14 more than the second

z=y+14

And remember that the sum of these three angles must be equal to 180.

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Let's take these equations

y+z=5x\\z=y+14\\x+y+z=180

If you take a look at the first equation, we have y+z = 5x and we have y+z in the third equation as well, we can replace that....

x+y+z=180\\x+(y+z)=180\\x+(5x)=180

Distribute the + sign

x+5x=180

Combine like terms;

6x=180

Divide by 6.

x=\frac{180}{6}\\ x=30

We have now defined that the measure of the first angle is 30º.

Let's take another equation... for example z=y+14

I'm going to take this one because if I replace x and z in the third equation, all I'll have left will be y.

x+y+z=180\\30+y+(y+14)=180

Distribute the + sign and Combine like terms;

30+y+y+14=180\\44+2y=180\\

Subtract 44 to isolate 2y.

2y=180-44\\2y=136

Now divide by 2.

y=\frac{136}{2}\\ y=68

We already have the value of x and y. Once again, replacing this in the third equation will leave us with z to solve for.

x+y+z=180\\30+68+z=180\\98+z=180\\z=180-98\\z=82

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