2x-7y=16, 3y=7-x solve by elimination

Answers

Answer 1

Answer:

Answer:

To solve the system of equations using elimination, we need to eliminate one variable by adding or subtracting the equations. Let's start by rearranging the first equation in standard form:

2x - 7y = 16

Next, let's rearrange the second equation so that both equations have the same number of x or y terms:

3y = 7 - x

We can rewrite this equation as:

x + 3y = 7

Now we have the following system of equations:

2x - 7y = 16

x + 3y = 7

To eliminate the y variable, we can multiply the second equation by 7:

7(x + 3y) = 7(7)

This gives us:

7x + 21y = 49

Now we can subtract the first equation from this equation:

(7x + 21y) - (2x - 7y) = 49 - 16

Simplifying the equation gives us:

7x + 21y - 2x + 7y = 33

Combining like terms, we get:

5x + 28y = 33

Now we have a new equation with only x and y terms. We can solve for one variable and substitute it back into either of the original equations to find the value of the other variable.

Step-by-step explanation:

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My question is, what is: log6(4x-8)=3

Answers

$log_6(4x-8)=3\ (*)\n\nD:4x-8 > 0\to4x > 8\to x > 2\to x\in(2;\ \infty)\n\n(*)\ 4x-8=6^3\n\n4x=216+8\n\n4x=224\ \ \ \ /:4\n\nx=56\in D$

4x-8=6^3
4x-8=216
4x=224
x=56

What is 3/5 divided 2 1/2?

Answers

Answer:

6/25 or 0.24

Step-by-step explanation:

(3/5) / (2 1/2) =

(3/5) / (5/2) =

(3/5) × (2/5) =

6/25 = 0.24

Answer:

6/25

Step-by-step explanation:

I Divided 3/5 by 1/2

Find the value of the variables for each set or similar figures

Answers

Answer:

Step-by-step explanation:

At what point does the graph of 5x + 4y = 12 intersect the y-axis?

Answers

first step is to simplify the equation or calculate..... so the formate of y=mx+b
4y=-5x+12
y=-5/4+3

so slope m=-5/4
b=3
count 3 on the y intercept from zero going up 3,put a dot there . then go down -5 from 3 and then count right 4 and put a dot there.if you need more help ask me or message me.

In there x=0 so 4y=12 or y=3. The point is (0,3)
That x=0 is the definition for x intersecting the axis.
We're at the same lesson now, lol.

1344 is 240% of what number

Answers

The number is 560.

What is the percentage?

The percentage is a ratio that can be expressed as a fraction of 100.

Let the required number be x.

Then, it follows that 1344 is 240% of x:

1344 = 240% of x

1344 = 240x/100

1344 = 12x/5

x = 1344×5/12

x = 560

Hence, the number is 560.

Learn more on percentages here:

brainly.com/question/14979505

#SPJ2

240% out of 1344=3225.6

Find two consecutive numbers whose sum is 117

Answers

So,

x + y = 117
y = x + 1
x + x + 1 = 117

Collect Like Terms
2x + 1 = 117

Subtract 1 from both sides
2x = 116

Divide both sides by 2
x = 58

y = x + 1

y = 58 + 1

y = 59

The 2 consecutive integers are 58 and 59.

$n+n+1=117\n2n=116\nn=58\nn+1=59$

These numbers are 58 and 59.

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