Answer:
step 1. DBE ~ ABC
step 2. (x + 5)/4 = (2x + x + 5)/(4 + 3)
step 3. ( x + 5)/4 = (3x + 5)/7
step 4. 7x + 35 = 12x + 20
step 5. 5x = 15
step 6. x = 3.
Answer:
n = - 30
Step-by-step explanation:
Eight plus the quotient of a number and 3 is −2
Expressing in mathematical terms, we have;
8 + (n/3) = -2
To solve for n;
Multiply all through by 3.
3*8 + 3(n/3) = 3 * (-2 )
24 + n = - 6
n = -6 - 24
n = - 30
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
x= -15/4 => x= -3 3/4 or x= -3.75
