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3 years ago

2x+14y=-108 9x+2y= 2 Solve the following system of equations using any method

1 answer:

4 0

2x+14y=-108
63x+14y= 14 (multiply the second equation by 7 and subtract)
_____________
-61x=-122
x=-122/-61
x=2
2(2)+14y=-108
4+14y=-108
14y=-112
y=-112/14
y=-8

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General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Brackets
Parenthesis
Exponents
Multiplication
Division
Addition
Subtraction

Left to Right

Equality Properties

Multiplication Property of Equality
Division Property of Equality
Addition Property of Equality
Subtraction Property of Equality

Trigonometry

[Right Triangles Only] SOHCAHTOA
[Right Triangles Only] cosθ = adjacent over hypotenuse

Step-by-step explanation:

Step 1: Define

Angle θ = 28°

Adjacent Leg = EF = x

Hypotenuse = DF = 18

Step 2: Solve for x

Substitute in variables [Cosine]: $\displaystyle cos28^\circ = \frac{x}{18}$
[Multiplication Property of Equality] Multiply 18 on both sides: $\displaystyle 18cos28^\circ = x$
Evaluate trig: $\displaystyle 18(0.882948) = x$
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Rewrite: $\displaystyle EF = 15.8931$
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