Elimination method 1) -4x + y = -12
4x + 2y = 6

2) 5x + 2y = 12
-6x - 2y = -14

3) 5x + 4y = 12
7x - 6y = 40

4) 5m + 2n = -8
4m + 3n = 2

Answers

Answer 1

Answer: 3y=-6
y=-2
4x+2(-2)=6
4x-4=6
4x=10
x=5/2
(5/2,-2)

-x=-2
x=2
5(2)+2y=12
10+2y=12
2y=2
y=1
(2,1)

35x+28y=84
-35x+30y=-200
58y=-116
y=-2
5x+4(-2)=12
5x-8=12
5x=20
x=4
(4,-2)

20m+8n=-32
-20m-15n=-10
-7n=-42
n=6
5m+2(6)=-8
5m+12=-8
5m=-20
m=-4
(-4,6)

Answer 2

Answer: $1.)\n \n\begin{cases}-4x + y = -12\n 4x + 2y = 6 \end{cases}\n -------- \n 3y=-6/:3\n \ny=-2\n \n-4x+2=-12\n \n-4x=-12+2$

$-4x=-10/:(-4)\n \nx=(10)/(4)\n \nx=(5)/(2)\n \n\begin{cases}x=(5)/(2) \ny=-2\end{cases}$

$2.)\n \n\begin{cases}5x + 2y = 12\n -6x - 2y = -14 \end{cases}\n -------- \n -x=-2/*(-1)\n \nx=2\n \n5*2+2y=12$

$10+2y=12 \n2y=12-10\n \n2y=2/:2\n \ny=1\n \n\begin{cases}x=2 \ny=1\end{cases}$

$3.)\n \n\begin{cases} 5x + 4y = 12/*7\n 7x - 6y = 40/*(-5) \end{cases}\n \n\begin{cases} 35x + 28y = 84\n -35x +30y = -200 \end{cases}\n---------- \n58y=-116/:58\n \ny=-2$

$5x+4*(-2)=12\n \n5x-8=12\n \n5x=12+8\n \n5x=20/:5\n \nx=4\n \n\begin{cases}x=4\ny=-2\end{cases}$

$4)\n \n\begin{cases}5m + 2n = -8 /*4\n 4m + 3n = 2/(-5) \end{cases}\n \n \begin{cases}20m + 8n = -32\n -20m -15n = -10 \end{cases}\n------------ \n -7n=-42/:(-7)\n \nn=6$

$5m+2*6=-8\n5m+12=-8\n5m=-8-12\n5m=-20/:5\n \nm=-4\n \n\begin{cases}n=6\nm=-4\end{cases}$

Related Questions

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Grandma Gertrude's Chocolates, a family owned business, has an opportunity to supply its product for distribution through a large coffee house chain. However, the coffee house chain has certain specifications regarding cacao content as it wishes to advertise the health benefits (antioxidants) of the chocolate products it sells. In order to determine the mean percentage of cacao in its dark chocolate products, quality inspectors sample 36 pieces. They find a sample mean of 60% with a standard deviation of 8%. What is the correct value of t to construct a 90% confidence interval for the true mean percentage of cacao? (Round to the nearest thousandth.)Select Answer:A. (0.577, 0.623)B. (0.539, 0.561)C. (0.527, 0.573) D. (0.589, 0.611)
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Evaluate the function below for x=2. F(x)=2x^3-x^2-5x+6
The width of a rectangular pool is 5 meters longer than the length. The perimeter of the pool is 58 meters. Use and equation to find the pools length.

How do I rewrite 3x+2y-4=2(5-y) so that y is a function of x?

Answers

Answer:

4y=9-3x

Step-by-step explanation:

3x+2y-4= 2×5-2y

3x+2y=10-4-2y

2y+2y=9-3x

4y=9-3x

If a case of paper contains 16 packages of paper, and each package contains 500 sheets, how many sheets of paper are in a case? A. 7000 B. 8000 C. 5000 D. 4000

Answers

16x500=8000 sheets of paper

the correct answer is B. 8000

Answer: B

Step-by-step explanation: 16×500=8000

Find the product.

(n + 7)(n - 2)

Answers

(n + 7) (n - 2)
n(n - 2) + 7(n - 2)
n^2 - 2n + 7n - 14
n^2 + 5n - 14

Answer:

n^2 + 14n + 49

Step-by-step explanation:

What is the value of the expression below when w=2w=2? 8w+10

Answers

The value of the expression $8w+10$ , when $w=2$ is $26$ .

The given expression is $8w+10$ .

An expression is a combination of terms that are combined by using mathematical operations such as subtraction, addition, multiplication, and division.

Here, $w=2$

To find the value of the expression $8w+10$ , substitute $w=2$ in the given expression, we get

$8*2+10$

$=16+10$

$=26$

Therefore, the value of the expression $8w+10$ , when $w=2$ is $26$ .

To learn more about an expression visit;

brainly.com/question/28170201.

#SPJ3

Answer:

The answer is 26.

Step-by-step explanation:

When you place the 2 next to the 8 you have to multiply it and then add the 10 to get the answer for the equation which is 26. Put it all in the calculator will be easier by putting it like this 8*2+10.

I hope this helps!

Algebra II
15 points

Answers

Answer:

B. The axis of symmetry is x=1.

F. The vertex is (1, 7).

G. The y-intercept is (0, 10).

Step-by-step explanation:

A graph of the function is helpful sorting this out.

_____

For quadratic ax² +bx +c, the axis of symmetry is x=-b/(2a). Here, that is ...

x = -(-6)/(2·3)

x = 1 . . . . axis of symmetry

This is also the x-coordinate of the vertex. The y-coordinate of the vertex can be found by evaluating the expression for this value of x:

3·1² -6·1 +10 = 7

so the vertex is (1, 7).

The y-intercept is the constant, the value of the function when x=0. Here, that is 10, so the coordinates of the y-intercept are (0, 10).

The y-intercept of the line whose equation is 2x + 5y = 8 is 8 4 8/5

Answers

to get y- intercept
put x=0 in the equation
2(0) +5y = 8
so,, y = 8/5

Final answer:

The y-intercept of the line represented by the equation 2x + 5y = 8 is 8/5. This is determined by rewriting the equation in slope-intercept form (y = mx + b), where 'b' represents the y-intercept.

Explanation:

The subject of this Mathematics question seems to be focusing on finding the y-intercept of the equation 2x + 5y = 8. In an equation like this, formatted in the style of a linear equation (y = mx + b), the y-intercept is represented by 'b'. This intercept is the point at which the line crosses the y-axis in a Cartesian plane.

If we rearrange the equation to the format y = mx + b, we get y = -2/5*x + 8/5. Therefore, the y intercept of the equation 2x + 5y = 8 is 8/5, which is the 'b' in our slope-intercept form equation.