Question

A student is trying to solve the system of two equations given below: equation p: y z = 6 equation q: 8y 7z = 1 which of these is a possible step used in eliminating the y-term? (y z = 6) ⋅ −8 (y z = 6) ⋅ 7 (8y 7z = 1) ⋅ 7 (8y 7z = 1) ⋅ 8

Answer 1

Correct option for solving the system of two equation is ($y\times z =6$)$\times -8$ .

What is simultaneous linear equation?

A system of simultaneous linear equations is any set of two or more linear equations that share the same unknown variables. Finding values for the unknown variables that simultaneously satisfy all of the equations is required to solve such a system.

Simultaneous linear equations are two linear equations in two variables put together.

The ordered pair (x, y) that satisfies both linear equations is the system of simultaneous linear equations' solution.

Given,

Equation p: $y+z=6$

Equation q: $8y+7z=1$

To solve the above simultaneous linear equation multiply the equation p with (-8)

$(y+z=6)\times -8$     ...................................................... Equation (1)

Now add Equation (1) with Equation (q)

$-8y-8z=-48$

+ $8y+7z=1$

⇒ $-z=-47$

⇒ $z=47$

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