(iv) 4y ? 7 2. (3y - 7).
Answers
Answer:
(x,y) = {5,
Step-by-step explanation:
[1] x + 4y = 7
[2] x - 3y = 7/2
// To remove fractions, multiply equations by their respective LCD
Multiply equation [2] by 2
// Equations now take the shape:
[1] x + 4y = 7
[2] 2x - 6y = 7
Graphic Representation of the Equations :
4y + x = 7 -6y + 2x = 7
Solve by Substitution :
// Solve equation [1] for the variable x
[1] x = -4y + 7
// Plug this in for variable x in equation [2]
[2] 2•(-4y+7) - 6y = 7
[2] - 14y = -7
// Solve equation [2] for the variable y
[2] 14y = 7
[2] y = 1/2
// By now we know this much :
x = -4y+7
y = 1/2
// Use the y value to solve for x
x = -4(1/2)+7 = 5
Solution :
{x,y} = {5,1/2}
Answer:
// Plug this in for variable x in equation [2]
[2] 2•(-4y+7) - 6y = 7
[2] - 14y = -7
// Solve equation [2] for the variable y
[2] 14y = 7
[2] y = 1/2
// By now we know this much :
x = -4y+7
y = 1/2
// Use the y value to solve for x
x = -4(1/2)+7 = 5
Solution :
{x,y} = {5,1/2}
// Plug this in for variable x in equation [2]
[2] 2•(-4y+7) - 6y = 7
[2] - 14y = -7
// Solve equation [2] for the variable y
[2] 14y = 7
[2] y = 1/2
// By now we know this much :
x = -4y+7
y = 1/2
// Use the y value to solve for x