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a_sh-v [17]
2 years ago
11

Create a list of steps, in order, that will solve the following equation.

Mathematics
1 answer:
Vlada [557]2 years ago
8 0

Answer:

a = -3

Step-by-step explanation:

Solve for a:

2 (a + 5) - 1 = 3

Hint: | Distribute 2 over a + 5.

2 (a + 5) = 2 a + 10:

(2 a + 10) - 1 = 3

Hint: | Group like terms in 2 a - 1 + 10.

Grouping like terms, 2 a - 1 + 10 = 2 a + (10 - 1):

(2 a + (10 - 1)) = 3

Hint: | Evaluate 10 - 1.

10 - 1 = 9:

2 a + 9 = 3

Hint: | Isolate terms with a to the left hand side.

Subtract 9 from both sides:

2 a + (9 - 9) = 3 - 9

Hint: | Look for the difference of two identical terms.

9 - 9 = 0:

2 a = 3 - 9

Hint: | Evaluate 3 - 9.

3 - 9 = -6:

2 a = -6

Hint: | Divide both sides by a constant to simplify the equation.

Divide both sides of 2 a = -6 by 2:

(2 a)/2 = (-6)/2

Hint: | Any nonzero number divided by itself is one.

2/2 = 1:

a = (-6)/2

Hint: | Reduce (-6)/2 to lowest terms. Start by finding the GCD of -6 and 2.

The gcd of -6 and 2 is 2, so (-6)/2 = (2 (-3))/(2×1) = 2/2×-3 = -3:

Answer:  a = -3

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In this problem we have sentence to be completed by direct observation to the variables seen in a unit circle, a form used to teach trigonometric functions in a <em>graphic</em> manner. Now we proceed to present the complete sentence below:

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\large \begin{array}{| c | l | l |}\cline{1-3} & \multicolumn{2}{|c|}{\sf Account\:Balance} \\ \cline{1-3} & \sf Option\:1 & \sf Option\:2 \\\sf Month & \sf \$50\:per\:mth & \sf 3\%\:per\:mth \\\cline{1-3} 0 & \$1000 & \$1000 \\\cline{1-3} 1 & \$1050 & \$1030 \\\cline{1-3} 2 & \$1100 & \$1060.90 \\\cline{1-3} 3 & \$1150 & \$1092.73 \\\cline{1-3} 4 & \$1200 & \$1125.51 \\\cline{1-3} 5 & \$1250 & \$1159.27 \\\cline{1-3} 6 & \$1300 & \$1194.05 \\\cline{1-3} 7 & \$1350 & \$1229.87 \\\cline{1-3}\end{array}

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