Chapter 3: Q52. (page 122)

If $x = y + z$ and $x + y = 6$ and $x = 10$ , then $z =$
$\begin{array}{l} A . 4 \\ B . 8 \\ C . 14 \\ D . 16 \end{array}$

Short Answer

Expert verified

The value of z is Option C $14$ .

Step by step solution

Step-1 – Apply the substitution method of solving equations

The algebraic method of substitution involves solving the one of the two equations for one variable in terms of other variable and then substituting the expression so formed for the variable in the second equation.

Step-2 – Substitute the value

It is given that $x = 10$ , so substitute it in $x + y = 6$ to find the value of y.

$\begin{matrix} x + y = 6 \\ 10 + y = 6 \\ y = 6 - 10 \\ y = - 4 \end{matrix}$

Thus, the value of y is $- 4$ .

Step-3 – Substitute the value of variable

To find the value of z, substitute $y = - 4$ and $x = 10$ in the equation $x = y + z$ and then solve for as shown.

$\begin{matrix} x = y + z \\ 10 = - 4 + z \\ z = 10 + 4 \\ z = 14 \end{matrix}$

Thus, the value of z is $14$ .

Hence, value of zis $14$ and the correct option is Option C.

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If $x = y + z$ and $x + y = 6$ and $x = 10$ , then $z =$
$\begin{array}{l} A . 4 \\ B . 8 \\ C . 14 \\ D . 16 \end{array}$

Short Answer

Step by step solution

Step-1 – Apply the substitution method of solving equations

Step-2 – Substitute the value

Step-3 – Substitute the value of variable

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If x=y+zand x+y=6and x=10, then z=A. 4B. 8C. 14D. 16

Short Answer

Step by step solution

Step-1 – Apply the substitution method of solving equations

Step-2 – Substitute the value

Step-3 – Substitute the value of variable

One App. One Place for Learning.

Most popular questions from this chapter

Recommended explanations on Math Textbooks

Statistics

Discrete Mathematics

Geometry

Calculus

Theoretical and Mathematical Physics

Pure Maths

Study anywhere. Anytime. Across all devices.

If $x = y + z$ and $x + y = 6$ and $x = 10$ , then $z =$
$\begin{array}{l} A . 4 \\ B . 8 \\ C . 14 \\ D . 16 \end{array}$