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Ratling [72]
3 years ago
8

Solve the system using elimination: -5x + 3y = 2 for x -5x - 5y = -30 for y

Mathematics
1 answer:
LiRa [457]3 years ago
3 0

Hey there! :)

Equation 1 : -5x + 3y = 2

Equation 2 : -5x - 5y = -30

Because both equations contain a like term (which in this case is 5x), we can easily subtract these equations from one another.

Subtract equation 1 from equation 2 :

-5x - (-5x) = 0

3y - (-5y) = 3y + 5y --> 8y

2 - (-30) = 2 + 30 --> 32

This leaves us with 8y = 32. Simplify this to get y by dividing both sides by 8.

8y ÷ 8 = 32 ÷ 8

Simplify.

y = 4

Now, plug in 4 for y in our first equation.

-5x + 3(4) = 2

Simplify.

-5x + 12 = 2

Subtract 12 from both sides.

-5x = 2 - 12

Simplify.

-5x = -10

Divide both sides by -5.

-5x ÷ -5 = -10 ÷ -5

Simplify.

x = 2

Therefore, our answer is :

(2, 4) where x = 2, y = 4

~Hope I helped!~

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Answer:

y-intercept: (0, 4)

x-intercept: (20, 0)

Step-by-step explanation:

y-intercept: The y-intercept of a graph is the point where the graph crosses the y -axis. That means, the point in which x = 0.

To find it, we can substitute x by 0 and find y.

x + 5y = 20

0 + 5y = 20

5y = 20

y = 20/5

y = 4

y-intercept: (0, 4)

x-intercept: The x-intercept of a graph is the point where the graph crosses the x-axis. That means the point in which y = 0.

To find it, we can substitute y by 0 and find x.

x + 5y = 20

x + 5*0 = 20

x = 20

x-intercept: (20, 0)

Finally, the graph of the equation is:

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1 year ago
Find the value of x and y
Aleks04 [339]

Answer:

x=30

y=17

Step-by-step explanation:

We know that 6x+9 = 129  since they are vertical angles

6x+9 = 129

Subtract 9 from each side

6x+9 -9 =129-9

6x = 120

Divide by 6

6x/6 =120/6

x = 20

3y+129 =180  since they make a straight line and straight line are equal to 180 degrees

3y+129 =180

Subtract 129 from each side

3y+129-129=180-129

3y = 51

Divide by 3

3y/3 = 51/3

y = 17

6 0
2 years ago
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Andrew went for a walk in the park. The trail he took is 114 miles long. He walked for 12 mile before stopping for a water break
strojnjashka [21]

Answer:

3/4

Step-by-step explanation:

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2 years ago
A store has a $120 dress. Then there is a 200% increase in the price of the dress. What is the final price of the dress?
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3 years ago
(b) If n(U)= 300, n(M) = 150, n(T) = 144 and n( MT)= 33. Find the value of n(MUT). (ii) Present the above information in a Venn
ICE Princess25 [194]

Answer:

Step-by-step explanation:

n(M ∪ T) = n(M) + n(T) - n(M∩T)

               = 150 + 144 - 33

               = 294 - 33

               = 261

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