SOLUTION: Equation: 5x + 2y = 10 a. Solve the equation for y and sketch the graph. b. Multiply the equation 5x + 2y = 10 by 3, and then solve for y. How does the graph of this equation com

Algebra ->  Expressions-with-variables -> SOLUTION: Equation: 5x + 2y = 10 a. Solve the equation for y and sketch the graph. b. Multiply the equation 5x + 2y = 10 by 3, and then solve for y. How does the graph of this equation com      Log On


   

Question 127565This question is from textbook Discovering Algebra
: Equation: 5x + 2y = 10
a. Solve the equation for y and sketch the graph.
b. Multiply the equation 5x + 2y = 10 by 3, and then solve for y. How does the graph of this equation compare with the graph of the original equation? Explain your answer. This question is from textbook Discovering Algebra

Answer by MathLover1(20850) About Me  (Show Source):
You can put this solution on YOUR website!
Equation: 5x+%2B+2y+=+10
a. Solve the equation for y and sketch the graph.
5x+%2B+2y+=+10.........move 5x to the right
2y+=+-5x+%2B10......divide both sides by 2
y+=+-%285%2F2%29x+%2B+5
graph:
+graph%28+300%2C+200%2C+-6%2C+5%2C+-10%2C+10%2C+-%285%2F2%29x+%2B+5%29+

b. Multiply the equation 5x+%2B+2y+=+10by 3, and then solve
for+y.
How does the graph of this equation compare with the graph of the original equation? Explain your answer.
5x%2A3+%2B+2%2A3y+=+10%2A3
15x+%2B+6y+=+30
+6y+=+-15x+%2B+30
+y+=+-%2815%2F6%29x+%2B+30%2F6
+y+=+-%28cross%2815%29%2A5%2Fcross%286%292%29x+%2B+5
+y+=+-%285%2F2%29x+%2B+5
+graph%28+300%2C+200%2C+-6%2C+5%2C+-10%2C+10%2C+-%285%2F2%29x+%2B+5%29+

the graph of this equation is same as the graph of the original equation; we did multiply equation by 3, but in order to solve it for y we needed to divide by 3too
or, if we use this property %28a%2Ab%29%2Fb=a our equation will not change