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bija089 [108]
4 years ago
8

What values of x and y satisfy x − 3y = 4 and 2x + y = 7 simultaneously?

Mathematics
1 answer:
Gnom [1K]4 years ago
6 0
We have:

x - 3y = 4

Pass -3y to the second member of equation

x = 4 + 3y

Now replace on the other equation tge value of x

2x + y = 7

2.(4 + 3y) + y = 7

Do the diatributive

2 ×4 + 2×3y + y = 7

8 +6y+y = 7

8 + 7y = 7

7y = 7 - 8

7y = - 1

y = -1/7

Now replace y = -1/7 in any equation

x = 4 + 3y

x = 4 + 3 . -1/7

x = 4 -3/7

x = (4×7 -3)/7

x = 25/7
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abruzzese [7]

Answer: If the left side and the right side of the equation are equal, the equations has  infinitely many solutions.

Step-by-step explanation:

The options are not clear, so I will give  you a general explanation of the procedure you can use to solve this exercise.

The Slope-Intercept form of the equation of a line is the following:

y=mx+b

Where "m" is the slope and "b" is the y-intercept.

For this exercise you need to remember that, given a System of Linear equations, if they are exactly the same line, then the System  of equations has Infinitely many solutions.

If you  have the following system:

\left \{ {{y=2x+1} \atop {y=\frac{12}{6}x+1}} \right.

You can simplify the second one:

y=2x+1

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By definition you can also write the systemf making both equations equal to each other:

2x+1=2x+1

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3 0
3 years ago
A sock drawer contains 5 different colors of socks.
Neko [114]

Answer:

1/5

Step-by-step explanation:

What is the probability 1/5.

3 0
3 years ago
-6 + x = -2<br><br><br> Thank you
marishachu [46]

Answer:

4 because I know it's right

8 0
3 years ago
In rhombus ABCD, the diagonal line AC and line BD intersect at E. If AE=5 and BE = 12, what is the length of line AB?
Reika [66]
From a formula located here:
http://www.1728.org/quadltrl.htm
we see that
<span>4 • Side² = Long Diagonal² + Short Diagonal²
Long Diagonal = 24
Short Diagonal = 10
</span><span>4 • Side² = 24^2 + 10^2 </span>
<span>4 • Side² = 576 + 100
</span><span>4 • Side² = 676
</span><span><span>Side²</span> = 169
Side (or line AB) = 13

</span>



8 0
3 years ago
The ratio of feet to yards is 3 to 1. Reyna threw a ball 30 feet. How many yards did she throw it?
Strike441 [17]

✧・゚: *✧・゚:*    *:・゚✧*:・゚✧

                  Hello!

✧・゚: *✧・゚:*    *:・゚✧*:・゚✧

❖ She threw the ball 10 yards.

The ratio we have is 3:1. Right now, we know she threw 30 feet. The relationship between the 3 and 30 is multiplying by 10. If you are multiplying the feet by 10, you have to multiply the yards by 10. When you multiply 1 x 10, you get 10. So the ration is 30:10 and she threw 10 yards.

~ ʜᴏᴘᴇ ᴛʜɪꜱ ʜᴇʟᴘꜱ! :) ♡

~ ᴄʟᴏᴜᴛᴀɴꜱᴡᴇʀꜱ

6 0
4 years ago
Read 2 more answers
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