Question

A. 15-0.5(4x-2)+4x=17 (show your work)

Answer 1

Answer:

A) x = 1/2

B) m = -4

    n = -3

Step-by-step explanation:

A)

$15-0.5(4x-2)+4x=17$

Expand the brackets:

$\implies 15-2x+1+4x=17$

Collect and combine like terms:

$\implies 2x+16=17$

Subtract 16 from both sides:

$\implies 2x=1$

Divide both sides by 2:

$\implies x = \dfrac12$

B) Equation 1:  n = m + 1

  Equation 2:  m = 2n + 2

Rewrite equation 1 to make m the subject:

m = n - 1

Subtract m = n - 1  from equation 2 to eliminate m:

0 = n + 3

Solve for n:

n = -3

Substitute n = -3 into either of the original equations and solve for m:

m = 2(-3) + 2

⇒ m = -4

Answer 2

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