Answer:
A) x = 1/2
B) m = -4
n = -3
Explanation:
A)
Expand the brackets:
Collect and combine like terms:
Subtract 16 from both sides:
Divide both sides by 2:
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