Solve using a system of two equations in two variables. Three times the larger of two numbers is equal to four times the smaller. The sum of the numbers is 21. Find the numbers
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OpenStudy (anonymous):
Can you convert this problem into numbers?
OpenStudy (anonymous):
I don't know how to
OpenStudy (anonymous):
Let's say that x is the larger number and that y is the smaller. Can you do it now?
OpenStudy (anonymous):
3(x+y)=4y?
OpenStudy (anonymous):
how did you get the x+y?
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OpenStudy (anonymous):
Remember. There are 2 equations you want to get out of the words.
OpenStudy (anonymous):
I have no clue....I'm so confused....
OpenStudy (anonymous):
x>y
"Three times the larger of two numbers is equal to four times the smaller"
3x=4y
Do you understand this?
OpenStudy (anonymous):
Oh okay yeah I get that
OpenStudy (anonymous):
Can you do "sum of the numbers is 21"?
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OpenStudy (anonymous):
Can it just t any random numbers yet equal 21
OpenStudy (anonymous):
Can it just be any two numbers that equal 21
OpenStudy (anonymous):
Yes. But use x and y because those are our "numbers"
OpenStudy (anonymous):
so x+y=21
Do you know how to solve the system of equations?
OpenStudy (anonymous):
I do but I don't understand how to for this problem