All categories

3 years ago

Find the solution -x + 2y = 6 and y = 1/2 x + 3

Mathematics

1 answer:

Margaret [11]3 years ago

5 0

Answer:

Step-by-step explanation:

-x + 2y = 6

y = 1/2x + 3

sub 1/2x + 3 in for y, back into the first equation

-x + 2(1/2x + 3) = 6 ....distribute thru the parenthesis

-x + x + 6 = 6

6 = 6

The solution to this equation is infinite solutions

You might be interested in

Algebra 1 Word Problem

Ierofanga [76]

Answer:

otterbox costs $95; beats costs $210

Step-by-step explanation:

x = otterbox y = beats

4x + 2y = 800 y = 2x + 20

4x + 2(2x + 20) = 800

4x + 4x +40 = 800

8x + 40 = 800

8x = 800 - 40

8x = 760

x = 760 / 8

x = 95 Otterbox costs $95 each

4x + 2y = 800

4(95) + 2y = 800

380 + 2y = 800

2y = 800 - 380

2y = 420

y = 420 / 2

y = 210 Beats costs $210

4(95) + 2(210) = 800

380 + 420 = 800

8 0

3 years ago

Read 2 more answers

Bryan owes his friend more than $1,610 from a loan. Bryan has already paid his friend back $206 and continues to pay him $156 ea

Genrish500 [490]

Owes more than 1425
owe>1425

owed musbe be equal to how much he paid back

paid back 210

and 153 per month is paid back (represent number of months by x)
so
owe=210+152x

210+153x>1425
153x+210>1425

Don't know if this is right or if it helps but

6 0

3 years ago

Read 2 more answers

Explain please and tell me how to do it ?

SCORPION-xisa [38]

The trick to calculating the area here is to subdivide the diagram into smaller parts. For example, there's a 3 cm-by-3cm square. The rectangle is 4 cm by 8 cm.. The triangle has a base of 5 cm and a height of 3 cm.

Total area = area of square + area of rectangle + area of triangle

= 9 cm^2 + 32 cm^2 + (1/2)(5 cm)(3 cm)

= (9 + 32 + 7.5) cm^2

= 48.5 cm^2 (total area of figure)

8 0

3 years ago

Read 2 more answers

Between 1 and twenty what had 5 factors

andreev551 [17]

16 because 16 has 1,2,4,8 and itself (16)

4 0

3 years ago

What is the slope of a line perpendicular to the following line?<br><br> <img src="https://tex.z-dn.net/?f=-7y%2B%208x%3D9" id="

EleoNora [17]

Answer:

m = $-\frac{7}{8}$

Step-by-step explanation:

<h3>Finding the slope of the given line </h3>

We need to find the slope of this equation to find the slope of a line perpendicular to it. This means we must solve for y.

Start off by subtracting 8x from both sides of the equation to start isolating the variable y.

$-7y=9- 8x$

Now solve for y by dividing both sides of the equation by -7.

$y=\frac{9-8x}{-7}$

This can be broken into two parts by distributing the negative sign from the -7 into the 9 and -8x like so:

$y=\frac{-9}{7} +\frac{8x}{7 }$

The slope of a line is the coefficient of x, so in this case the slope of the given line ( $-7y+8x=9$ ) is $\frac{8}{7}$ .

<h3>Finding the slope of a line perpendicular to the given line</h3>

Two lines that are perpendicular would have opposite reciprocal slopes, which means the perpendicular slope would be the negative counterpart and would be flipped.

For example, if you have 2 as the slope of one of the perpendicular lines, the other line would be the opposite (-2) reciprocal ( $-\frac{1}{2}$ ).

Therefore, since we have the slope of one of the perpendicular lines (the given line), we would find the opposite reciprocal of it's slope to solve this problem.

Slope: $\frac{8}{7}$

Opposite: $-\frac{8}{7}$
Reciprocal: $-\frac{7}{8}$

The slope of the line perpendicular to $-7y+8x=9$ is $-\frac{7}{8}$ .

3 0

3 years ago