Answer:
x = 2/5
Step-by-step explanation:
Given:
7 + 5x = 3(y-2)
Rearrange this equation such that x is expressed in terms of y
7 + 5x = 3(y-2) (expand right side)
7 + 5x = y(3)-2(3)
7 + 5x = 3y-6 (subtract 7 from both sides)
5x = 3y - 6 - 7
5x = 3y - 13
we are given the y-value of the coordinate pair (? , 5)
simply substitute y=5 into the equation above
5x = 3y - 13
5x = 3(5) - 13
5x = 15 - 13
5x = 2 (divide both sides 5)
x = 2/5
Answer:
its the same as 48
Step-by-step explanation:
The next step Juan will take is to multiply the second fraction by (x-2)/(x-2).
Given that Juan needs to rewrite this difference as one expression (3x/(x²-7x+10))-(2x/(3x-15)) and factor the denominator as (3x/(x-2)(x-5))-(2x/3(x-5)).
An algebraic expression in mathematics is an expression composed of variables and constants and algebraic operations (addition, subtraction, etc.). Expressions are made up of concepts.
The given expression is (3x/(x²-7x+10))-(2x/(3x-15))
Firstly, we will factored the denominator as
(3x/(x-2)(x-5))-(2x/3(x-5)).
Now, we will multiply and divide the second fraction by (x-2), we get
(3x/(x-2)(x-5))-((2x(x-2))/3(x-5)(x-2)).
Hence, the next step when subtracting these expressions (3x/(x-2)(x-5))-(2x/3(x-5)) is multiply the second fraction by (x-2)/(x-2).
Learn more about algebraic expression from here brainly.com/question/4344214
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