All categories

3 years ago

Solve the system of equations by substitution y= 3x - 10 3x + 2y = 16

Mathematics

1 answer:

Natalija [7]3 years ago

5 0

Y= 3x - 10
<span>3x + 2y = 16

3x+2(3x-10)=16
3x+6x-20=16
9x-20=16
9x=36
x=4

y=3x-10
y=3(4)-10
y=12-10
y=2</span>

You might be interested in

Help someone plzzzzzzz

mafiozo [28]

The answer to the problem is
y=1/2x

3 0

3 years ago

Read 2 more answers

System of equations, special case infinitely many solutions?????

Mashcka [7]

One possible system is

1x + 3y = 4

2x + 6y = 8

Note how 2 is twice as large as 1, 6 is twice as large as 3, and 8 is twice as large as 4.

In other words, the second equation is the result of multiplying both sides of the first equation by 2.

1x+3y = 4

2*(1x+3y) = 2*4

2x+6y = 8

Effectively the two equations in bold are the same which produces the same line. The two lines overlap perfectly to intersect infinitely many times. An intersection is a solution.

4 0

2 years ago

What is the Point slope equation

anastassius [24]

Answer:

y - y1 = m(x - x1)

Step-by-step explanation:

The point slope form equation is [ y - y1 = m(x - x1) ]

(x1, y1) is any given point on the line.

m is the slope.

To solve this you would need these things:

Slope (y2-y1/x2-x1)
Y-intercept (y = mx + b)

Best of Luck!

3 0

3 years ago

Last questions, plz help

Goryan [66]

Answer:

9. $a_n=7+6n$

10. $a_n=a_{n-1}+7$

Step-by-step explanation:

9. Given the sequence

$13, 19, 25, ...$

In this sequence,

$a_1=13\\ \\a_2=19\\ \\a_3=25\\ \\...$

Note that

$a_2-a_1=19-13=6\\ \\a_3-a_2=25-19=6,$

then the common difference in this sequence is $d=6$

You have

$a_1=13\\ \\d=6,$

then the explicit formula is

$a_n=a_1+(n-1)d\\ \\a_n=13+(n-1)\cdot 6\\ \\a_n=13+6n-6\\ \\a_n=7+6n$

10. Given the sequence

$-10,-3, 4, 11, ...$

In this sequence,

$a_1=-10\\ \\a_2=-3\\ \\a_3=4\\ \\a_4=11\\ \\...$

Note that

$a_2-a_1=-10-(-3)=-10+3=-7\\ \\a_3-a_2=-3-4=-7\\ \\a_4-a_3=11-4=7,$

then the common difference in this sequence is $d=7$

You have

$a_1=-10\\ \\d=7,$

then the recursive formula is

$a_n=a_{n-1}+d\\ \\a_n=a_{n-1}+7$

5 0

3 years ago

Consider each equation. is it the equation of the line that is parallel or perpendicular to y=3x+2? Select yes or no for a-c

Mkey [24]

Answer:

see explanation

Step-by-step explanation:

the equation of a line in slope- intercept form is

y = mx + c ( m is the slope and c the y- intercept )

y = 3x + 2 is in this form with slope m = 3

• Parallel lines have equal slope

• The slopes of perpendicular lines are negative reciprocals of each other

y = - $\frac{1}{3}$ x - 8 has slope m = - $\frac{1}{3}$

3 and - $\frac{1}{3}$ are negative reciprocals

This line is perpendicular to y = 3x + 2

y = 3x - 10 has slope m = 3

This line is parallel to y = 3x + 2

y = 2x + 4 has slope m = 2

This line is neither parallel nor perpendicular to y = 3x + 2

5 0

3 years ago