AyverieG686462 AyverieG686462
  • 03-11-2022
  • Mathematics
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Substitution x=3y2x+4y = 10

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DrexT603486 DrexT603486
  • 03-11-2022

Problem:

Solve by substitution

x=3y

2x+4y = 10

Solution:

let's denote the equation of the problem by:

x=3y EQUATION 1

2x+4y = 10 EQUATION 2

Substitute the x of equation 1 into equation 2:

2(3y) + 4y = 10

this is equivalent to:

6y + 4y = 10

this is equivalent to:

10y = 10

solve for y:

y = 10/10 = 1

then, we can say that y = 1. Now replace this value (y =1) in equation 1:

x = 3y = 3(1) = 3

Thus, we can conclude that the solution is

x= 3 and y = 1

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