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3 years ago

Solve the system of equations system

Mathematics

2 answers:

Korolek [52]3 years ago

8 0

Answer:

(3, 3 )

Step-by-step explanation:

Given the 2 equations

3x - y = 6 → (1)

6x + y = 21 → (2)

Adding the 2 equations term by term will eliminate y, that is

(6x + 3x) + (y - y) = (21 + 6), that is

9x = 27 (divide both sides by 9 )

x = 3

Substitute x = 3 into either (1) or (2) and solve for y

Using (2), then

(6 × 3) + y = 21

18 + y = 21 ( subtract 18 from both sides )

y = 3

Solution is (3, 3 )

dedylja [7]3 years ago

4 0

Answer:

(3,3)

Step-by-step explanation:

6x+y=21

6x+3x-6=21

9x-6=21

9x-6+6=21+6

9x=27

9x/9 27/9

x=3

y=3x-6

y=(3)(3)-6

y=3

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5 1/2 +1 3/10x=13 what does x equal

Advocard [28]

Answer:

$x=5\frac{10}{13}$

Explanation:

Given the equation

$5\frac{1}{2}+1\frac{3}{10}x=13$

Step 1: Change all the mixed fraction to improper fractions

$\implies\frac{11}{2}+\frac{13x}{10}=13$

Step 2: Find the lowest common multiple of the denominators (2 and 10)

The lowest common multiple = 10

Step 3: Multiply all through by 10.

$\begin{gathered} \implies\frac{11}{2}\times10+\frac{13x\times10}{10}=13\times10 \\ =55+13x=130 \end{gathered}$

Step 4: Apply the subtraction law of equality. (Subtract 55)

$\begin{gathered} 55-55+13x=130-55 \\ 13x=75 \end{gathered}$

Step 5: Apply the division law of equality. (Divide by 13)

$\begin{gathered} \frac{13x}{13}=\frac{75}{13} \\ x=5\frac{10}{13} \end{gathered}$

8 0

1 year ago

The difference of 2 numbers is 21 and the quotient of the equation is 4 then what are the two numbers?

N76 [4]

Answer:

The two numbers are 28 and 7.

Step-by-step explanation:

Let the first number be x

Let the second number be y

The difference of x and y is x-y=21

The quotient of two numbers is x/y = 4

x-y =21 (This is equation 1)

x/y=4 (This is equation 2)

By solving equation 2 we will get the value of x.

x/y=4

x=4y (Lets call it equation 3)

Now, put the value of x(equation 3) in (equation 1)

x-y=21

4y-y=21

3y=21

y=21/3

y=7

Now put the value of y in equation 3 to get the value of x

x=4y

x=4(7)

x=28

Solution Set {(x,y)(28,7)}

6 0

3 years ago

Solve the following equation: 4(x + 2) - 17 = 35<br> A: -11<br> B: 25/2<br> C: 15<br> D: 11

aalyn [17]

Answer:

D: 11

Step-by-step explanation:

4(x + 2) - 17 = 35

4x+8 - 17=35

4x-9=35

4x=35+9=44

x=44/4=11

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Answer:

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