Chapter 4: Q 44. (page 386)

Solve the system of equations by substitution
$\{\begin{cases} y = \frac{7}{8} x + 4 \\ - 7 x + 8 y = 6 \end{cases}$

Short Answer

Expert verified

The system of equations has no solution.

Step by step solution

Step 1. Given the information

The system of equations is,

$\{\begin{cases} y = \frac{7}{8} x + 4 \\ - 7 x + 8 y = 6 \end{cases}$

Step 2. Substituting the value y in the equation.

Substituting $y = \frac{7}{8} x + 4$ in the equation

$- 7 x + 8 y = 6$

$- 7 x + 8 (\frac{7}{8} x + 4) = 6$

$- 7 x + 7 x + 32 = 6$

$- 7 x + 7 x = 6 - 32$

$0 = - 26$

The system of equations has no solution.

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Solve the system of equations by substitution
$\{\begin{cases} y = \frac{7}{8} x + 4 \\ - 7 x + 8 y = 6 \end{cases}$

Short Answer

Step by step solution

Step 1. Given the information

Step 2. Substituting the value y in the equation.

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Solve the system of equations by substitutiony=78x+4-7x+8y=6

Short Answer

Step by step solution

Step 1. Given the information

Step 2. Substituting the value y in the equation.

One App. One Place for Learning.

Most popular questions from this chapter

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Study anywhere. Anytime. Across all devices.

Solve the system of equations by substitution
$\{\begin{cases} y = \frac{7}{8} x + 4 \\ - 7 x + 8 y = 6 \end{cases}$