The solution to the system equations

Mathematics

1 answer:

katovenus [111]3 years ago

3 0

Let's solve this system of equations through substitution.

We have these two equations.

-7x-2y=14

6x+6y=18

Now let divide the second equation by 6.

6x+6y=18 ----> x+y=3

Next, let us move y to the right side of the equation.

x+y=3 -------> x=3-y (x equals 3-y)

Because we found out that what x is in terms of y, we can input that in for every instance of x in this equation below.

-7x-2y=14 becomes -7(3-y)-2y=14 (Why? Because x equals 3-y!)

We have a one variable equation now and can solve for y.

-7(3-y)-2y=14

-21+7y-2y=14

5y=35

y=7

Plug in 7 for y in any equation to find x.

x+y=3

x+7=3

x=-4

answer: x=-4, y=7

You might be interested in

Help with #8 please

Ahat [919]

Answer: (2) p=67 and q=15

Step-by-step explanation:

If you 82 and 31 together you would get 113 and you know that a triangle equals 180° so you take 180-113 and you get 67. You do the same for the other triangle you take a 98° and the new angle which is 67 and add them together and you get 165 so then you get 180 which is your overall triangle degree and subtract 165 from it and you get 15 which is Q, angle Q equals 15°

5 0

3 years ago

if there are two containers of sugar solution, the first is 4% concentration and second is 8% concentration. how much of each sh

Elina [12.6K]

Answer:

<u>30 gallons solution 4% and 10 gallons solution 8%</u>

Step-by-step explanation:

x=40-y

4(40-y)+8y=200

160-4y+8y=200

4y=200-160

4y=40 => y=10 (gallons solution 8%)