Solving systems of equations by substitution Y=6x y=5x+7

2 answers:

8 0

Y=6x (1)
y=5x-7 (2)

Substitute y into (2)
(6x)=5x-7 -- subtract 5x from both sides
x=-7

Sub x into 1
y=6(-7)
y=-42

x=-7
y=-42

dusya [7]3 years ago

6 0

First substitute 'y' in 2nd equation by right side of 1st one and you get:
$Y=6x$
$6x=5x+7$
now substract 5x from both sides of 2nd equal and you get:
$6x-5x=5x+7-5x$
as a result of the equal above you get:
$x=7$
now substitute x in very first equation by the result from above (x=7):
$Y=6*7=42$
$x=7$

You might be interested in

Here's an experiment you can try. Start by folding an ordinary sheet of typing paper exactly in half. Then fold it in half over

Katyanochek1 [597]

First fold = .02
2nd fold = .04
3rd fold = .08
4th fold = .16
5th fold = .32
6th fold = .64 cm

7 0

3 years ago

Read 2 more answers

A credit card company decides to study the frequency with which its cardholders charge for items from a certain change of retail

gregori [183]

Answer:

15.87% of the total number of cardholder would be expected to be charging 27 or more in the study.

Step-by-step explanation:

Normal Probability Distribution:

Problems of normal distributions can be solved using the z-score formula.

In a set with mean $\mu$ and standard deviation $\sigma$ , the z-score of a measure X is given by:

$Z = \frac{X - \mu}{\sigma}$

The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the p-value, we get the probability that the value of the measure is greater than X.

Mean of 25 charged purchases and a standard distribution of 2

This means that $\mu = 25, \sigma = 2$