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Intermediate Algebra

OPENSTAX

$Math Studyset Vaia Explanations$ Math

OER 2017 Edition · 1346 pages

ISBN: 9780998625720

Chapter 4: Q 42. (page 386)

Solve the system of equations by substitution
$\{\begin{cases} x = 2 y \\ 4 x - 8 y = 0 \end{cases}$

Short Answer

Expert verified

The system of equations has no solution.

Step by step solution

01

Step 1. Given the information

The system of equations is,

$\{\begin{cases} x = 2 y \\ 4 x - 8 y = 0 \end{cases}$

02

Step 2. Substituting the value of x in the equation.

Substituting $x = 2 y$ in the equation

$4 x - 8 y = 0$

$4 (2 y) - 8 y = 0$

$8 y - 8 y = 0$

$0 = 0$

The system of equations has no solution.

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Most popular questions from this chapter

Solve the system of equations by substitution

$\{\begin{cases} y = - 2 x - 1 \\ y = - \frac{1}{3} x + 4 \end{cases}$

The sum of two number is $30$ . One number is $4$ less than the other. Find the numbers.

To decide whether it would be more convenient to solve the system of equations by substitution or

elimination.

$(a) \{\begin{cases} 14 x - 15 y = - 30 \\ 7 x + 2 y = 10 \end{cases} (b) \{\begin{cases} x = 9 y - 11 \\ 2 x - 7 y = - 27 \end{cases}$

Translate to a system of equation and solve.

The difference of two complementary angles is $55$ degrees. Find the measures of the angles.

Solve the system by graphing: $\{\begin{cases} x - 3 y = - 3 \\ x + y = 5 \end{cases}$

See all solutions

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