Chapter 5: Q 95. (page 611)

Solve the system of equation $\{\begin{cases} 4 x + 2 y = 8 \\ 8 x - y = 1 \end{cases}$ by substitution

Short Answer

Expert verified

The soluion is $(0.5, 3)$ .

Step by step solution

Step 1. Given information

The given equations are:

$4 x + 2 y = 8 \dots \dots (1)$

$8 x - y = 1 \dots \dots (2)$

Step 2. Substitute value of y from equation 2 in equation 1

From equation $(2)$ $y = 8 x - 1$

Substitute in equation $(1)$

$\Rightarrow 4 x + 2 (8 x - 1) = 8$

Step 3. Solve for x

$\Rightarrow 4 x + 16 x - 2 = 8$

$\Rightarrow 20 x = 10$

$\Rightarrow x = \frac{10}{20}$

$\Rightarrow x = 0.5$

Step 4. Substitute value of x from step 3 in equation 1

$\Rightarrow 4 (0.5) + 2 y = 8$

$\Rightarrow 2 + 2 y = 8$

$\Rightarrow 2 y = 6$

$\Rightarrow y = 3$

Step 5. Checking solution

Now we have $x = 0.5$ and $y = 3$

Put these values in equation $(1)$

localid="1649345126722" $\Rightarrow 4 (0.5) + 2 (3) = 8$

$\Rightarrow 8 = 8$

Also put these values in equation $(2)$

$\Rightarrow 8 (0.5) - 3 = 1$

$\Rightarrow 1 = 1$

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Solve the system of equation $\{\begin{cases} 4 x + 2 y = 8 \\ 8 x - y = 1 \end{cases}$ by substitution

Short Answer

Step by step solution

Step 1. Given information

Step 2. Substitute value of y from equation 2 in equation 1

Step 3. Solve for x

Step 4. Substitute value of x from step 3 in equation 1

Step 5. Checking solution

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Solve the system of equation4x+2y=88x-y=1by substitution

Short Answer

Step by step solution

Step 1. Given information

Step 2. Substitute value of y from equation 2 in equation 1

Step 3. Solve for x

Step 4. Substitute value of x from step 3 in equation 1

Step 5. Checking solution

One App. One Place for Learning.

Most popular questions from this chapter

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Solve the system of equation $\{\begin{cases} 4 x + 2 y = 8 \\ 8 x - y = 1 \end{cases}$ by substitution