Question

Solve the system of equations by substitution:- 7x – 2y = -13x - 2y = 11A.(2,-5)B.infinite solutionsC.(3-4)D.(-3, 4)

Answer 1

We are given the following two equations

`7x-2y=-13\qquad eq.1`
`x-2y=11\qquad eq.2`

In the substitution method, we separate a variable in one equation and substitute it into the other equation.

Let us separate the variable x in eq.2

`\begin{gathered} x-2y=11 \\ x=11+2y \end{gathered}`

Now let us substitute the above value of x into the eq.1