Answer:
A. {x,y}={-2,-3}
// Solve equation [2] for the variable x
[2] x = 2y + 4
// Plug this in for variable x in equation [1]
[1] (2y+4) - y = 1
[1] y = -3
// Solve equation [1] for the variable y
[1] y = - 3
// By now we know this much :
x = 2y+4
y = -3
// Use the y value to solve for x
x = 2(-3)+4 = -2
B. [1] 3x=3y-6
[2] y=x+2
Equations Simplified or Rearranged :
[1] 3x - 3y = -6
[2] -x + y = 2
Solve by Substitution :
// Solve equation [2] for the variable y
[2] y = x + 2
// Plug this in for variable y in equation [1]
[1] 3x - 3•(x +2) = -6
[1] 0 = 0 => Infinitely many solutions
C.Step by Step Solution
More Icon
System of Linear Equations entered :
[1] 4x - y = 2
[2] 8x - 2y = 4
Solve by Substitution :
// Solve equation [1] for the variable y
[1] y = 4x - 2
// Plug this in for variable y in equation [2]
[2] 8x - 2•(4x-2) = 4
[2] 0 = 0 => Infinitely many solutions
Answer:
(-1,1)
Step-by-step explanation:
To find where both lines intersect, solve for x and y with substitution.
Equation 1.
-8x+3y=11
Equation 2.
y=3x+4
Substitute y from equation 2 into equation 1.
-8x+3(3x+4)=11
-8x+9x+12=11
x=-1
Now plug x into the second equation to solve for y.
y=3(-1)+4
y=-3+4
y=1
Both lines intersect at (-1,1)
You have to use the rule of three
Answer:
x=10/3
Step-by-step explanation:
hope that helps
