All categories

2 years ago

Solve the system of equations by substitution y = 2x + 1 and 3x + y = 16

Mathematics

1 answer:

Luden [163]2 years ago

6 0

Answer: y=7,x=3

Steps:

y = 2x + 1

3x + y = 16

Substitute y = 2x + 1

3x + 2x + 1 = 16

Simplify

5x+1=16

Isolate x for 5x + 1 = 16: x = 3

For y = 2x + 1

Substitute x = 3

y = 2 · 3 + 1

Simplify

y = 7

The solutions to the system of equations are:

y = 7, x = 3

Hope This Helps!

You might be interested in

Simplify the expression 4+ (-2)^3. -12 12 -4 -2

Setler [38]

Answer:

-4

Step-by-step explanation:

4+ (-2)^3

-2 *-2*-2 = -8

4 + -8

-4

4 0

2 years ago

Read 2 more answers

1.) The commuter trains on the Red Line for the Regional Transit Authority (RTA) in Cleveland, OH, have a waiting time during pe

alisha [4.7K]

Answer:

a) For this case we define the random variable as X ="waiting time during peak hours" and we know that this distribution follows an uniform distribution:

$X \sim Unif(a=0,b=8)$

Where a and b represent the limits of the distribution.

b) $f(x) = \frac{1}{8}= 0.125, a\leq x \leq b$

And the height for this case would be 0.125

Step-by-step explanation:

Part a

For this case we define the random variable as X ="waiting time during peak hours" and we know that this distribution follows an uniform distribution:

$X \sim Unif(a=0,b=8)$

Where a and b represent the limits of the distribution.

Part b

For this case the density function would be given by:

$f(x) = \frac{1}{8}= 0.125, a\leq x \leq b$

And the height for this case would be 0.125

And $f(x)= 0$ for other case.