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

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asked Feb 10, 2023 108k views

1 Answer

Chris Hynes · Answer 1 · 2023-02-14T13:31:06+0000

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