What is the system is equations 5x+4y=8 2x-3y=17
1 answer:
Answer:
(4, -3)
Step-by-step explanation:
The system of equations can be described a number of ways. One possible description is "a consistent pair of linear equations in two variables."
Perhaps you want to know the solution to this system of equations. I find it easiest to graph them. The attached graph shows the solution to be ...
(x, y) = (4, -3)
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You can also use "elimination" to simplify the system to a single equation in a single variable. Adding 4 times the second equation to 3 times the first will do that.
3(5x +4y) +4(2x -3y) = 3(8) +4(17)
23x = 92 . . . . . simplify
x = 4 . . . . . . . . divide by 23
Substituting this value into the first equation, we have ...
5(4) +4y = 8
5 +y = 2 . . . . . . divide by 4
y = -3 . . . . . . . . subtract 5
The solution is (x, y) = (4, -3).
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1) factor the denominators: 2b/(b-1)2 - 2/ (b-1)2
2) MAKE SURE YOU HAVE A COMMON DENOMINATOR
3) combine the numerators: 2b-2/(b-1)2
4) distribute 2 from numerator: 2(b-1)/(b-1)2
5) simplify; answer is 2/(b-1)
2) MAKE SURE YOU HAVE A COMMON DENOMINATOR
3) combine the numerators: 2b-2/(b-1)2
4) distribute 2 from numerator: 2(b-1)/(b-1)2
5) simplify; answer is 2/(b-1)
(I crossed simplify)
Next cross multiply;
3b = 1
b = 1/3
To check if the statement is true just substitute the value of b in the equation;
3b = 1
3(1/3) = 1
1 = 1