You guys : ) which ordered pair (x, y) is a solution to the following system of equations? {5x+4y=-14} {3x+6y=6} answer choices: a. (-6,4) b. (2/7,18/7) c. (18/7,2/7) d. (6,-2)

There is a long way - but I like the short way!

There is only one correct solution so why not start with A. & D. (the easy answers) and plug them in for your variables and test them.

I started with A and what do you know - it checks out!

{5x+4y=-14}   Put -6 in for x and 4 in for y

-30 + 16 = -14 Is that right? Yes Now try the next equation.

{3x+6y=6}    Put -6 in for x and 4 in for y

-18 + 24 = 6 Is that right? Yes. We are good. Problem solved.

The long way would be to use the substitution method and solve for x and then substitute to find y.

the answer would be 1 1/72

step-by-step explanation:

you can rewrite the equation by separating the parts and then solving individually:

10-9=1

1/8 - 1/9=

find l c d and then combine:

1 1/72

c.   x=2.4cm

step-by-step explanation:

similar triangles are triangles which have the same shape but not the same size. this means their angle measures are equal but their side lengths are not instead they are proportional. to solve, we will set up a proportion and solve.

a proportion is two equal ratios set equal to each other. we form the ratios by finding corresponding sides (sides which match to each other on both triangles by their position). out ratios will be one side of the small triangle over the corresponding side on the big triangle as shown below:

.

to solve the proportion, we'll cross multiply by multiplying numerator with denominator across the equal sign.