Answer:
{x,y}={
3
13
,
3
1
}
Step-by-step explanation:
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System of Linear Equations entered :
[1] x + 2y = 5
[2] x - y = 4
Graphic Representation of the Equations :
2y + x = 5 y + x = 4
Solve by Substitution :
// Solve equation [2] for the variable x
[2] x = y + 4
// Plug this in for variable x in equation [1]
[1] (y +4) + 2y = 5
[1] 3y = 1
// Solve equation [1] for the variable y
[1] 3y = 1
[1] y = 1/3
// By now we know this much :
x = y+4
y = 1/3
// Use the y value to solve for x
x = (1/3)+4 = 13/3
Solution :
{x,y} = {13/3,1/3}
Answer:
Step-by-step explanation:
Step 1: Equation at the end of step 1
Simplifying
60(x + 20) = 3x
Reorder the terms:
60(20 + x) = 3x
(20 * 60 + x * 60) = 3x
(1200 + 60x) = 3x
Solving
1200 + 60x = 3x
Solving for variable 'x'.
Move all terms containing x to the left, all other terms to the right.
Add '-3x' to each side of the equation.
1200 + 60x + -3x = 3x + -3x
Combine like terms: 60x + -3x = 57x
1200 + 57x = 3x + -3x
Combine like terms: 3x + -3x = 0
1200 + 57x = 0
Add '-1200' to each side of the equation.
1200 + -1200 + 57x = 0 + -1200
Combine like terms: 1200 + -1200 = 0
0 + 57x = 0 + -1200
57x = 0 + -1200
Combine like terms: 0 + -1200 = -1200
57x = -1200
Divide each side by '57'.
x = -21.05263158
Simplifying
x = -21.05263158
Answer:
The family traveled at 45 miles per hour.
Step-by-step explanation:
