A set of equations is given below:

Equation C: y = 7x + 12


Equation D: y = 7x + 2

Which of the following best describes the number of solutions to the given set of equations? (1 point)


One solution

Two solutions

Many solutions

No solution

Respuesta :

There is no solution because 12 and 2 are totally different numbers, it doesn't work, because both x's have a 7(7x).

there are no solutions.

Two linear equations y = 7x + 12 and y = 7x + 2 don't have any solution.

What is a linear equation?

A linear equation is an equation where the variable has the highest power of one. A linear equation could have more than one variable. However, the highest power of the variable is one.

Given, 1st equation  is y = 7x + 12

⇒ - 7x + y = 12

Therefore, a₁ = -7, b₁ = 1, and c₁ = 12.

The second equation is y = 7x + 2

⇒ - 7x + y = 2

Therefore, a₂ = -7, b₂ = 1, and c₂ = 2.

We know, two linear equations can't have any solution if a₁/a₂ = b₁/b₂ ≠ c₁/c₂.

Therefore, -7/ -7 = 1/1 ≠ 12/2.

Hence, these two linear equations have no solution.

Learn more about a linear equation here: https://brainly.com/question/13738061

#SPJ2