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atroni [7]
3 years ago
15

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

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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
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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
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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)

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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
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