Find the solution to the system of equations below.
2y = 2x - 8
2x + y = 5

The solution to the system of equations is:

The graph is attached below.

Step-by-step explanation:

Given the system of equations

Let us solve the system of equations using the elimination method

Arrange equation variables for elimination

Multiply y + 2x = 5 by 2:  2y + 4x = 10

subtracting the equations

solve 6x = 18 for x

Divide both sides by 6

simplify

For 2y - 2x = -8  plug in x = 3

Add 6 to both sides

Simplify

Divide both sides by 2

Simplify

Therefore, the solution to the system of equations is:

The graph is attached below.

168

step-by-step explanation:

first off, we know that he drove 3.5 hours at a rate of 48 mph.

knowing that, we want to see how many miles he drove all-together.

in this case, we can just multiply 48 by 3.5.

48 * 3.5 = 168

hello from mrbilldoesmath!

answer:   (7x + 6y) ( 49x^2 - 42xy + 36y^2)

discussion:

in general, the factorization of a^3 + b^3 is

a^3 + b^ 3 = (a + b) ( a^2 - ab + b^2)

in our case note that 343 = 7^3 and 216 = 6^3 so the equation becomes:

343x^3 + 216y^3 = (7x)^3 + (6y)^3

if you think of a (above) as 7x and b as 6y the factorization becomes

343x^3 + 216y^3 =

((7x + 6y) (   (7x)^2 - 7x*6y + (6y)^2)   =

(7x + 6y) ( 49x^2 - 42xy + 36y^2)

you,

mrb

(a + b) (a^2 - a b + b^2)