Question

Circles M and K are congruent, QR is congruent to LN and OP is congruent to VW. Find y.

Answer 1

OP is congruent to VW and QR is congruent to LN

Answer 2

correct!

Answer 3

but how do i find y

Answer 4

Each of those objects have all algebraic representation. We can say that QR = LN and WV = OP

Answer 5

yeah so -2x= -3y+3 and -6x= -6y+18 but what do i do after this?

Answer 6

Put each in standard form, x and y on the left, the constants on the right

Answer 7

so -2x+3y=3 and -6x+6y=18?

Answer 8

Yes.

Answer 9

Now we have a system of linear equations. Do you know how to use elimination and substitution to solve such systems?

Answer 10

no can you explain please

Answer 11

Ok, I will do my best. When we have a system of linear equations, like the one we have, there are three possibilities as far as solutions go. Either, there will be no solution ( the lines are parallel), there will be infinitely many solutions (the lines are the same), or there will be exactly one solutions ( the lines intersect ).

Answer 12

To find the set of solutions to a system of linear equations, we have two methods, one is substitution, and the other is elimination.

Answer 13

Substitution only applies to a system of two linear equations, much like we have here. To substitute, we solve for one variable in one equation, and substitute its value into the other equation. By doing this, we are left with an equation of only one variable, which allows us to solve for this one variable explicitly.

Answer 14

Does this make sense so far?