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ladessa [460]
3 years ago
6

Which of the following (x,y) pairs is the solution for the system of equations x+2y=4 and -2x+y=7

Mathematics
1 answer:
kakasveta [241]3 years ago
3 0

Answer:

(-2 ,3)

Step-by-step explanation:

Step 1: Rewrite first equation

x = 4 - 2y

-2x + y = 7

Step 2: Substitution

-2(4 - 2y) + y = 7

Step 3: Solve <em>y</em>

-8 + 4y + y = 7

-8 + 5y = 7

5y = 15

y = 3

Step 3: Plug in <em>y</em> to find <em>x</em>

x + 2(3) = 4

x + 6 = 4

x = -2

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Pepper jackie has 5.8
vesna_86 [32]

Answer:

Pepper Jackie still has 5.8

Step-by-step explanation:

If this is a english problem instead of a math problem to correct the sentence it would be       Pepper Jackie has 5.8

4 0
2 years ago
Solve the system using substitution.<br> 2x = 5y + 14<br> x = 5y
andrew-mc [135]

Answer:

<h2>y = 2.8</h2><h2>x = 14</h2>

Step-by-step explanation:

To solve an equation, we can only have one variable. In this case, we are given the system 2x = 5y + 14. However, we are given the value of x in terms of y. We can substitute 10y in for 2x and solve.

10y = 5y + 14

First, we need to get all the variables on one side of the equation, so we subtract 5y.

5y = 14

Divide by 5

y = 14/5 or 2 4/5 or 2.8

Now for the x part.

2x = x + 14

Subtract 1x

x = 14

Now we check our answer.

2(14) = 5(2.8) + 14

28 = 14 + 14

28 = 28

Because 28 equals 28, our solutions are correct.

7 0
3 years ago
Find the equation of the line passing through the point (8, -4) and slope -4.
ehidna [41]

Answer:

y+4x=36

Step-by-step explanation:

the answer isn't in the choice

3 0
2 years ago
Samantha visits for local farmers market to buy apples and oranges to make a fruit salad. she has $10 to spend. Apples are $.26.
GrogVix [38]
She can buy 38 apples.

10/0.26 = 38.5 but you can’t buy half an apple so you round down to 38.

Hope this helped!
5 0
3 years ago
Read 2 more answers
What expression is equivalent to 12x⁴ over 4x¹⁶
alexgriva [62]

Answer:

\frac{3}{x^1^2}

Step-by-step explanation:

\frac{12x^4}{4x^1^6}=3x^4/x^16

bring "x^4" to the bottom to subtract it with x^16

3/x^16*x^-4

3/x^12

hope this helps!

7 0
3 years ago
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