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Intermediate Algebra

OPENSTAX

$Math Studyset Vaia Explanations$ Math

OER 2017 Edition · 1346 pages

ISBN: 9780998625720

Chapter 4: Q. 4.23 (page 383)

Solve the system by elimination $\{\begin{cases} 5 x - 3 y = 15 \\ y = - 5 + \frac{5}{3} x \end{cases}$

Short Answer

Expert verified

The equations are consistent and dependent

Step by step solution

01

Given information

Given the system of equations $\{\begin{cases} 5 x - 3 y = 15 \\ y = - 5 + \frac{5}{3} x \end{cases}$

02

Calculating the value

Substitution of value of variable in another equation Substituting in another equation, we get

$[5 x - 3 (- 5 + \frac{5}{3} x) = 15] 5 x - 3 (- 5) - 3 (\frac{5 x}{3}) = 15 5 x + 15 - 5 x = 15 15 = 15$

The equations are consistent and dependent

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Most popular questions from this chapter

Troy and Lisa were shopping for school supplies. Each purchased different quantities of the same notebook and thumb drive. Troy bought four notebooks and five thumb drives for $\(116$ . Lisa bought two notebooks and three thumb dives for $\) 68$ . Find the cost of each notebook and

each thumb drive.

Solve the system by graphing: $\{\begin{cases} - x + y = 1 \\ 2 x + y = 10 \end{cases}$ $\{\begin{cases} - x + y = 1 \\ 2 x + y = 10 \end{cases}$

Two angles are complementary. The measure of the larger angle is ten more than four times the measure of the smaller angle. Find the measures of both angles.

Solve the system by graphing:

$\{\begin{cases} y = - 3 x - 6 \\ 6 x + 2 y = - 12 \end{cases}$

Solve the systems of equations by substitution.

$\{\begin{cases} 2 x + y = - 4 \\ 3 x - 2 y = - 6 \end{cases}$

See all solutions

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