Chapter 5: Q 92. (page 611)

Solve the system of equation $\{\begin{cases} y = x - 6 \\ y = - \frac{3}{2} x + 6 \end{cases}$ by substitution

Short Answer

Expert verified

The solution is $(4.8, - 1.2)$ .

Step by step solution

Step 1. Given information

The given equations are:

$y = x - 6 \dots \dots (1)$

role="math" localid="1647790465247" $y = - \frac{3}{2} x + 6 \dots \dots (2)$

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

$\Rightarrow x - 6 = - \frac{3}{2} x + 6$

Step 3. Solve for x

$\Rightarrow x + \frac{3}{2} x = 6 + 6$

$\Rightarrow \frac{5}{2} x = 12$

$\Rightarrow 5 x = 24$

$\Rightarrow x = 4.8$

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

$\Rightarrow y = 4.8 - 6$

$\Rightarrow y = - 1.2$

Step 5. Checking solution

Now we have $x = 4.8$ and $y = - 1.2$

Put these values in equation $(1)$

$\Rightarrow - 1.2 = 4.8 - 6$

$\Rightarrow - 1.2 = - 1.2$

Also put these values in equation $(2)$

$\Rightarrow - 1.2 = - \frac{3}{2} (4.8) + 6$

$\Rightarrow - 1.2 = - 1.2$

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Solve the system of equation $\{\begin{cases} y = x - 6 \\ y = - \frac{3}{2} x + 6 \end{cases}$ by substitution

Short Answer

Step by step solution

Step 1. Given information

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

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 equationy=x-6y=-32x+6by substitution

Short Answer

Step by step solution

Step 1. Given information

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

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 $\{\begin{cases} y = x - 6 \\ y = - \frac{3}{2} x + 6 \end{cases}$ by substitution