What is the value of y in the following system y= 3x-5 6x+3y=15

2 answers:

7 0

X=2. You use substitution to put the y=3x-5 into 6x+3y=15.
So you get 6x+3(3x-5)=15
=6x+9x-15=15
add 15 on both sides to get the x's alone and add the x's together.
6+9=15 -- 15+15=30
15x=30
30/15 =2
x=2

Ivahew [28]4 years ago

3 0

If you plug in (3x-5) in for y in the 6x+3y=15, you will get 6x+9x-15=15. Add the like terms (6x+9x) and get 15x. Bring the -15=15 down. Add 15 to the other 15 on the other side of the equal sign, bring 15x down and then divide 15 by 30 and get x=2. Plug in 2 for x in the (3x-5) equation, then solve and the answer will be 1.

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Answer:

$370000000=3.70000000\cdot10^8=3.7\cdot 10^8 \\ 7600=7.600\cdot 10^3$

Step-by-step explanation:

Both numbers are integers (not fractions)

if you write an integer in scientific notation:

1) inset a comma between first and second digit (3.70000000)

2) calculate all digits on the right side of insetting comma (there are 8 digits after a comma: 7,0,0,0,0,0,0,0)

3) a fraction from point 1) you multiply by 10 to the power, which is equal to a number of digits after comma (8)

4) according this tips, you have $3.70000000\cdot 10^8$

5) for a better notation, you may remove ending zeros

$3.7\cdot 10^8$

5 0

3 years ago

Use a table of values to find the solution to the equation f(x)=h(x) where

GuDViN [60]

9514 1404 393

Answer:

x = 2 1/3

Step-by-step explanation:

We can examine the equations to see where the solution lies.

f(x) = (2/3) -x

This has an x-intercept where y=0, at x=2/3. It has a y-intercept where x=0, at y=2/3. Its slope is -1.

h(x) = 3 -2x

This has an x-intercept where y=0, at x=3/2. It has a y-intercept where x=0, at y=3. Its slope is -2.

In the first quadrant, the graph of h(x) is farther from the origin and steeper than the graph of f(x). The lines must cross in the 4th quadrant at some value of x that is greater than 3/2. The fraction in the definition of f(x) suggests that the solution will be a multiple of 1/3.

The attached table shows a couple of guesses at values of x that would make f(x) = h(x). We find that x = 7/3 is the solution we're looking for.

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Additional comment

Repetitive function evaluations are done conveniently and with fewer errors by a calculator or spreadsheet that can work with tables of values. Here, we have used a graphing calculator. These tools are readily available for free on almost any phone, tablet, or desktop computer platform.