3x + 2y = 47 and 2x + 3y = 53
Answers
Answer:
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Step-by-step explanation:
3x + 2y = 47 and 2x + 3y = 53 3x + 2y = 47 and 2x + 3y = 53 3x + 2y = 47 and 2x + 3y = 53 3x + 2y = 47 and 2x + 3y = 53 3x + 2y = 47 and 2x + 3y = 53
Answer:
[1] 2x + 3y = 47
[2] 3x + 2y = 48
Graphic Representation of the Equations :
3y + 2x = 47 2y + 3x = 48
Solve by Substitution :
// Solve equation [2] for the variable y
[2] 2y = -3x + 48
[2] y = -3x/2 + 24
// Plug this in for variable y in equation [1]
[1] 2x + 3•(-3x/2+24) = 47
[1] -5x/2 = -25
[1] -5x = -50
// Solve equation [1] for the variable x
[1] 5x = 50
[1] x = 10
// By now we know this much :
x = 10
y = -3x/2+24
// Use the x value to solve for y
y = -(3/2)(10)+24 = 9