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saul85 [17]
3 years ago
11

I need help solving a system of linear equation, and it says to solve it by Substitution.

Mathematics
2 answers:
Nata [24]3 years ago
7 0
First solve for x in the second equation (x=-6y+18).then substitute -6y+18 in the first equation and solve for y.after solving for y then substitute it in one of the equation and then solve for x.
2x-3y=-25
x+6y=18

x=-6y+18
2(-6y+18)-3y=-24
-12y+36-3y=-24
-15y+36=-24
-15y=-24-36
-15y=-60
y=4

x+6(4)=18
x+24=18
x=18-24
x=-6

y=4,x=-6
olga_2 [115]3 years ago
6 0
2x - 3y = -24
x+ 6y = 18

you solve the first one by the x:

2x = -24 + 3y

x = (-24+3y)/2

then you substitute what you found in the other equation and you solve by y

(-24+3y)/2 + 6y = 18                   multiply everything by 2

-24 + 3y + 12y = 36

3y + 12y = 36 + 24

15y = 60

y = 60/15

y = 4

Good job! You found your y! :D

Now let's substitute the y in the first equation with 4:

2x - 3(4) = -24

2x - 12 = -24

2x = -24 + 12

2x = -12

x = -12/2

x= -6

Done!! ;) <span />
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7 0
3 years ago
Please help me!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!<br> x = ___
Rzqust [24]

Answer:

68

Step-by-step explanation:

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7 0
3 years ago
Which is equivalent to x^3 y^-7
PilotLPTM [1.2K]

For this case we must find an expression equivalent to:

x ^ 3 * y ^ {- 7}

By definition of power properties we have to meet:

a ^ {-1} = \frac {1} {a ^ 1} = \frac {1} {a}

Then, we can rewrite the expression as:

x ^ 3 * \frac {1} {y ^ 7} =\\\frac {x ^ 3} {y ^ 7}

Answer:

\frac {x ^ 3} {y ^ 7}

8 0
3 years ago
The sum of two times a number and four
Leokris [45]
Twice the sum of a number and 4 is 14. In this case the numbers are added first, and the ANSWER is doubled.
8 0
3 years ago
ou watch a roulette wheel spin 3 consecutive times and each time the ball lands in a red slot. What is the | probability that th
spayn [35]

Answer:

The probability is \frac{18}{38}=0.4736

Step-by-step explanation:

The game of roulette wheel consists in spinning a wheel with 38 slots : 18 red, 18 black and 2 green.

If we suppose that the roulette is a fair roulette, then each slot has an equal chance of capturing the ball and given that the ball lands in a red, black or green slot this event doesn't give us information about the following spin. Meaning that exists independence between each spin of the roulette wheel.

In our exercise, we spin the roulette wheel 3 consecutive times and each time the ball lands in a red slot. This doesn't give us information about the fourth spin (because of the independence).

Given that each slot has an equal chance of capturing the ball we can calculate the probability of the ball landing on a red slot on the next spin as :

P(Red)=\frac{18}{38}=0.4736

We divide the favourable cases (18 red slots) by the total cases (38 slots) in order to calculate the probability.

The probability is \frac{18}{38}=0.4736

6 0
2 years ago
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