Answer:
2) x = -2
, y = 2
3) no solution exists
Step-by-step explanation:
Solve the following system:
{-2 x - 3 y = -2
y = 2 x + 6
Hint: | Perform a substitution.
Substitute y = 2 x + 6 into the first equation:
{-2 x - 3 (2 x + 6) = -2
y = 2 x + 6
Hint: | Expand the left hand side of the equation -2 x - 3 (2 x + 6) = -2.
-2 x - 3 (2 x + 6) = (-6 x - 18) - 2 x = -8 x - 18:
{-8 x - 18 = -2
y = 2 x + 6
Hint: | Choose an equation and a variable to solve for.
In the first equation, look to solve for x:
{-8 x - 18 = -2
y = 2 x + 6
Hint: | Isolate terms with x to the left hand side.
Add 18 to both sides:
{-8 x = 16
y = 2 x + 6
Hint: | Solve for x.
Divide both sides by -8:
{x = -2
y = 2 x + 6
Hint: | Perform a back substitution.
Substitute x = -2 into the second equation:
Answer: {x = -2
, y = 2
Answer:
Amount of fuel antifreeze = 6,279 gallon
Step-by-step explanation:
Given:
Amount of fuel = 273,000-gallon
Antifreeze = 2.3 %
Find:
Amount of fuel antifreeze
Computation:
Amount of fuel antifreeze = Amount of fuel × Antifreeze
Amount of fuel antifreeze = 273,000 × 2.3 %
Amount of fuel antifreeze = 6,279 gallon
Answer:
x = 57/5 = 11.400
Step-by-step explanation:
Step 1 :
Solving a Single Variable Equation :
1.1 Solve : 5x-57 = 0
Add 57 to both sides of the equation :
5x = 57
Divide both sides of the equation by 5:
x = 57/5 = 11.400
One solution was found :
x = 57/5 = 11.400
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-6x^4-7x^2+5x-10. hope this helps ! :)
