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ladessa [460]
3 years ago
14

Solve the system of linear equations by substitution. y=2x+5 and y=3x-1

Mathematics
1 answer:
Doss [256]3 years ago
3 0
Plug in the second equation into the first equation for y.
y = 2x + 5 \\ y = 3x - 1 \\ 3x - 1 = 2x + 5
Now put the variable on one side and constants on the other
3x - 1  + 1 - 2x = 2x - 2x + 5 + 1 \\ x = 6
Now plug that back into one of the original equations
y = 2x + 5 \\ y = 2(6) + 5 \\ y = 12 + 5 \\ y = 17
So now you know
x = 6 \\ y = 17
Its always a good idea to check
17 = 2(6) + 5 \\ 17 = 17 \\ 17 = 3(6) - 1 \\ 17 = 17
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Wx+yz=bc solve for z
Marina86 [1]
Yz= bc - wx 
==> z= (bc -wx) / y
5 0
4 years ago
Read 2 more answers
N Example 3, the points are(0,3500) and (5,1750). Write an equation that represents the distance y (in feet) remaining after x m
Cerrena [4.2K]

Answer:

<h2>The time needed is 10 months.</h2>

Step-by-step explanation:

The given points are (0, 3500) and (5, 1750).

First, we use the formula below to find the slope of the line

m=\frac{y_{2}-y_{1}  }{x_{2} -x_{1} }=\frac{1750-3500}{5-0}=\frac{-1750}{5}=-350

Which means the function is deacrasing with a ratio of 350 feet per month.

Now, we use the slope and one point to find the equation

y-y_{1} =m(x-x_{1} )\\y-1750=-350(x-5)\\y=-350x+1750+1750\\y=-350x+3500

This linear function shows that the situation started at the y-intecept (0, 3500), which means the month 0 had already 3500 feet. In other words, the total distance is 3500 feet. Now, the x-intercept will tell us the time needed to travel that distance.

0=-350x+3500\\-3500=-350x\\x=\frac{-3500}{-350}\\ x=10

Therefore, the time needed is 10 months.

3 0
3 years ago
Find the value of RT
Elis [28]

Answer:

RT=7

Step-by-step explanation:

RQ*RP=RS*RT

  • 9*(9+13)=11(11+x)
  • 9*\frac{22^2}{11} =\frac{11}{11} =(11+x)
  • 18=11+x ⇒ 7

✄┈┈┈┈┈┈┈┈┈«

┍━━━━ ⋆⋅☆⋅⋆ ━━━━┑

        <em>  hope it helps..</em>

<em>         have a great day!!</em>

┕━━━━ ⋆⋅☆⋅⋆ ━━━━┙

3 0
3 years ago
How would the expression x^2-4 be rewritten using Difference of Squares?
Anna [14]
<span>a2 – b2 = (a + b)(a – b) or (a – b)(a + b).
This is the 'Difference of Squares' formula we can use to factor the expression.

In order to use the </span><span>'Difference of Squares' formula to factor a binomial, the binomial must contain two perfect squares that are separated by a subtraction symbol.

</span><span>x^2 - 4 fits this, because x^2 and 4 are both perfect squares, and they are separated by a subtraction symbol.
All you do here to factor, is take the square root of each term.

√x^2 = x
√4 = 2

Now that we have our square roots, x and 2, we substitute these numbers into the form (a + b)(a - b).
</span>
<span>(a + b)(a - b)
(x + 2)(x - 2)

Our answer is final </span><span>(x + 2)(x - 2), which can also be written as (x - 2)(x + 2), it doesn't make a difference which order you put it in.

Anyway, Hope this helps!!
Let me know if you need help understanding anything and I'll try to explain as best I can.</span>
3 0
3 years ago
Make a conjecture about the sum of primes based on the following pattern:
Setler [38]
14= 7+7
16= 8+8
18= 9+9
20= 9+11
22= 10+12
24= 12+12
26= 7+8+11
6 0
3 years ago
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