What is the solution set of y=3x+16 and 2y=x+72?
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tejash172209:
hiii
Answer please...
Solve by Substitution :
// Solve equation [1] for the variable y
[1] y = 3x + 16
// Plug this in for variable y in equation [2]
[2] 2•(3x+16) - x = 72
[2] 5x = 40
// Solve equation [2] for the variable x
[2] 5x = 40
[2] x = 8
// By now we know this much :
y = 3x+16
x = 8
// Use the x value to solve for y
y = 3(8)+16 = 40
Solution :
{y,x} = {40,8}
// Solve equation [1] for the variable y
[1] y = 3x + 16
// Plug this in for variable y in equation [2]
[2] 2•(3x+16) - x = 72
[2] 5x = 40
// Solve equation [2] for the variable x
[2] 5x = 40
[2] x = 8
// By now we know this much :
y = 3x+16
x = 8
// Use the x value to solve for y
y = 3(8)+16 = 40
Solution :
{y,x} = {40,8}
see it
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